How to use of “the” before known matrices












1












$begingroup$


I am writing a paper and want to use Vandermonde matrices in its abstract.



I am confused which of the following sentences are correct?




A) One of the important matrices in coding theory is the Vandermonde matrix.



B) One of the important matrices in coding theory is Vandermonde matrix.



C) One of the important matrices in coding theory is Vandermonde matrices.




Thanks for any suggestions.






article-writing







share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    An important matrix in coding theory is the Vandermonde matrix.
    $endgroup$
    – twnly
    2 hours ago






  • 1




    $begingroup$
    @twnly My advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    Your advisor is wrong.
    $endgroup$
    – Servaes
    1 hour ago






  • 1




    $begingroup$
    @Servaes Unfortunately, based on the given answers, your comment is correct. But the story is this I am a student and he is a professor :)
    $endgroup$
    – user0410
    1 hour ago








  • 1




    $begingroup$
    That is an unfortunate situation with which I can sympathise, but not help.
    $endgroup$
    – Servaes
    1 hour ago
















1












$begingroup$


I am writing a paper and want to use Vandermonde matrices in its abstract.



I am confused which of the following sentences are correct?




A) One of the important matrices in coding theory is the Vandermonde matrix.



B) One of the important matrices in coding theory is Vandermonde matrix.



C) One of the important matrices in coding theory is Vandermonde matrices.




Thanks for any suggestions.






article-writing







share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    An important matrix in coding theory is the Vandermonde matrix.
    $endgroup$
    – twnly
    2 hours ago






  • 1




    $begingroup$
    @twnly My advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    Your advisor is wrong.
    $endgroup$
    – Servaes
    1 hour ago






  • 1




    $begingroup$
    @Servaes Unfortunately, based on the given answers, your comment is correct. But the story is this I am a student and he is a professor :)
    $endgroup$
    – user0410
    1 hour ago








  • 1




    $begingroup$
    That is an unfortunate situation with which I can sympathise, but not help.
    $endgroup$
    – Servaes
    1 hour ago














1












1








1





$begingroup$


I am writing a paper and want to use Vandermonde matrices in its abstract.



I am confused which of the following sentences are correct?




A) One of the important matrices in coding theory is the Vandermonde matrix.



B) One of the important matrices in coding theory is Vandermonde matrix.



C) One of the important matrices in coding theory is Vandermonde matrices.




Thanks for any suggestions.






article-writing







share|cite|improve this question









$endgroup$




I am writing a paper and want to use Vandermonde matrices in its abstract.



I am confused which of the following sentences are correct?




A) One of the important matrices in coding theory is the Vandermonde matrix.



B) One of the important matrices in coding theory is Vandermonde matrix.



C) One of the important matrices in coding theory is Vandermonde matrices.




Thanks for any suggestions.






article-writing




article-writing






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked 2 hours ago









user0410user0410

313110




313110








  • 1




    $begingroup$
    An important matrix in coding theory is the Vandermonde matrix.
    $endgroup$
    – twnly
    2 hours ago






  • 1




    $begingroup$
    @twnly My advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    Your advisor is wrong.
    $endgroup$
    – Servaes
    1 hour ago






  • 1




    $begingroup$
    @Servaes Unfortunately, based on the given answers, your comment is correct. But the story is this I am a student and he is a professor :)
    $endgroup$
    – user0410
    1 hour ago








  • 1




    $begingroup$
    That is an unfortunate situation with which I can sympathise, but not help.
    $endgroup$
    – Servaes
    1 hour ago














  • 1




    $begingroup$
    An important matrix in coding theory is the Vandermonde matrix.
    $endgroup$
    – twnly
    2 hours ago






  • 1




    $begingroup$
    @twnly My advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    Your advisor is wrong.
    $endgroup$
    – Servaes
    1 hour ago






  • 1




    $begingroup$
    @Servaes Unfortunately, based on the given answers, your comment is correct. But the story is this I am a student and he is a professor :)
    $endgroup$
    – user0410
    1 hour ago








  • 1




    $begingroup$
    That is an unfortunate situation with which I can sympathise, but not help.
    $endgroup$
    – Servaes
    1 hour ago








1




1




$begingroup$
An important matrix in coding theory is the Vandermonde matrix.
$endgroup$
– twnly
2 hours ago




$begingroup$
An important matrix in coding theory is the Vandermonde matrix.
$endgroup$
– twnly
2 hours ago




1




1




$begingroup$
@twnly My advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it right?
$endgroup$
– user0410
2 hours ago




$begingroup$
@twnly My advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it right?
$endgroup$
– user0410
2 hours ago




1




1




$begingroup$
Your advisor is wrong.
$endgroup$
– Servaes
1 hour ago




$begingroup$
Your advisor is wrong.
$endgroup$
– Servaes
1 hour ago




1




1




$begingroup$
@Servaes Unfortunately, based on the given answers, your comment is correct. But the story is this I am a student and he is a professor :)
$endgroup$
– user0410
1 hour ago






$begingroup$
@Servaes Unfortunately, based on the given answers, your comment is correct. But the story is this I am a student and he is a professor :)
$endgroup$
– user0410
1 hour ago






1




1




$begingroup$
That is an unfortunate situation with which I can sympathise, but not help.
$endgroup$
– Servaes
1 hour ago




$begingroup$
That is an unfortunate situation with which I can sympathise, but not help.
$endgroup$
– Servaes
1 hour ago










3 Answers
3






active

oldest

votes


















4












$begingroup$

I would choose a different option. Since there is not a unique Vandermonde matrix, I would say something like




One of the most important kinds/types/families/etc. of matrices in coding theory are the Vandermonde matrices.




If you want to consider them as essentially the same then I'll choose A), but I'm not an expert in coding theory so I'm not sure that wording would sound okay to the people who will read your paper.



Edit: just to let you know, B) is incorrect since you must write "the" in this context, and C) is incorrect because you're using "is" for a plural subject.






share|cite|improve this answer











$endgroup$









  • 2




    $begingroup$
    I have two questions. First, my advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it correct?. Second, you wrote "One of the most important ... are..." . I think the verb should be "is" not "are". Am I right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    The Vandermonde matrices are a family. It is incorrect so say "the Vandermonde matrices is a family" because the subject is "the Vandermonde matrices" not "family". In the sentece they're written in opposite order, but the syntax is the same.
    $endgroup$
    – Javi
    2 hours ago








  • 1




    $begingroup$
    Not all papers are perfectly grammatically correct. And sometimes there are those kinds of conventions. The important thing is to be understood, so you can first ask your colleagues if something sounds weird or not to them.
    $endgroup$
    – Javi
    1 hour ago








  • 1




    $begingroup$
    I have a question. Maybe it was a simple question, but I would like to ask it. Why did you use "the" before Vandermonde matrices. Thanks in advance.
    $endgroup$
    – user0410
    1 hour ago






  • 1




    $begingroup$
    If you don't use "the" there is a nuance in the meaning. Without "the" it sounds like some important matrices happen to be Vandermonde matrices, rather than saying that that specific kind of matrices (Vandermonde matrices) are important.
    $endgroup$
    – Javi
    1 hour ago





















2












$begingroup$

B and C are grammatically incorrect: in B there should be an article before "Vandermonde" and in C, there should be agreement in number. As Javi comments, A is wrong on mathematical grounds: there is a whole family of Vandermonde matrices.






share|cite|improve this answer











$endgroup$









  • 1




    $begingroup$
    Thanks for your useful answer.
    $endgroup$
    – user0410
    1 hour ago



















0












$begingroup$

I'd write:




Some of the important matrices in coding theory are Vandermonde matrices.







share|cite|improve this answer









$endgroup$













  • $begingroup$
    I like your answer. It is a clear and simple sentence. Thanks
    $endgroup$
    – user0410
    1 hour ago











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3149916%2fhow-to-use-of-the-before-known-matrices%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























3 Answers
3






active

oldest

votes








3 Answers
3






active

oldest

votes









active

oldest

votes






active

oldest

votes









4












$begingroup$

I would choose a different option. Since there is not a unique Vandermonde matrix, I would say something like




One of the most important kinds/types/families/etc. of matrices in coding theory are the Vandermonde matrices.




If you want to consider them as essentially the same then I'll choose A), but I'm not an expert in coding theory so I'm not sure that wording would sound okay to the people who will read your paper.



Edit: just to let you know, B) is incorrect since you must write "the" in this context, and C) is incorrect because you're using "is" for a plural subject.






share|cite|improve this answer











$endgroup$









  • 2




    $begingroup$
    I have two questions. First, my advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it correct?. Second, you wrote "One of the most important ... are..." . I think the verb should be "is" not "are". Am I right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    The Vandermonde matrices are a family. It is incorrect so say "the Vandermonde matrices is a family" because the subject is "the Vandermonde matrices" not "family". In the sentece they're written in opposite order, but the syntax is the same.
    $endgroup$
    – Javi
    2 hours ago








  • 1




    $begingroup$
    Not all papers are perfectly grammatically correct. And sometimes there are those kinds of conventions. The important thing is to be understood, so you can first ask your colleagues if something sounds weird or not to them.
    $endgroup$
    – Javi
    1 hour ago








  • 1




    $begingroup$
    I have a question. Maybe it was a simple question, but I would like to ask it. Why did you use "the" before Vandermonde matrices. Thanks in advance.
    $endgroup$
    – user0410
    1 hour ago






  • 1




    $begingroup$
    If you don't use "the" there is a nuance in the meaning. Without "the" it sounds like some important matrices happen to be Vandermonde matrices, rather than saying that that specific kind of matrices (Vandermonde matrices) are important.
    $endgroup$
    – Javi
    1 hour ago


















4












$begingroup$

I would choose a different option. Since there is not a unique Vandermonde matrix, I would say something like




One of the most important kinds/types/families/etc. of matrices in coding theory are the Vandermonde matrices.




If you want to consider them as essentially the same then I'll choose A), but I'm not an expert in coding theory so I'm not sure that wording would sound okay to the people who will read your paper.



Edit: just to let you know, B) is incorrect since you must write "the" in this context, and C) is incorrect because you're using "is" for a plural subject.






share|cite|improve this answer











$endgroup$









  • 2




    $begingroup$
    I have two questions. First, my advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it correct?. Second, you wrote "One of the most important ... are..." . I think the verb should be "is" not "are". Am I right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    The Vandermonde matrices are a family. It is incorrect so say "the Vandermonde matrices is a family" because the subject is "the Vandermonde matrices" not "family". In the sentece they're written in opposite order, but the syntax is the same.
    $endgroup$
    – Javi
    2 hours ago








  • 1




    $begingroup$
    Not all papers are perfectly grammatically correct. And sometimes there are those kinds of conventions. The important thing is to be understood, so you can first ask your colleagues if something sounds weird or not to them.
    $endgroup$
    – Javi
    1 hour ago








  • 1




    $begingroup$
    I have a question. Maybe it was a simple question, but I would like to ask it. Why did you use "the" before Vandermonde matrices. Thanks in advance.
    $endgroup$
    – user0410
    1 hour ago






  • 1




    $begingroup$
    If you don't use "the" there is a nuance in the meaning. Without "the" it sounds like some important matrices happen to be Vandermonde matrices, rather than saying that that specific kind of matrices (Vandermonde matrices) are important.
    $endgroup$
    – Javi
    1 hour ago
















4












4








4





$begingroup$

I would choose a different option. Since there is not a unique Vandermonde matrix, I would say something like




One of the most important kinds/types/families/etc. of matrices in coding theory are the Vandermonde matrices.




If you want to consider them as essentially the same then I'll choose A), but I'm not an expert in coding theory so I'm not sure that wording would sound okay to the people who will read your paper.



Edit: just to let you know, B) is incorrect since you must write "the" in this context, and C) is incorrect because you're using "is" for a plural subject.






share|cite|improve this answer











$endgroup$



I would choose a different option. Since there is not a unique Vandermonde matrix, I would say something like




One of the most important kinds/types/families/etc. of matrices in coding theory are the Vandermonde matrices.




If you want to consider them as essentially the same then I'll choose A), but I'm not an expert in coding theory so I'm not sure that wording would sound okay to the people who will read your paper.



Edit: just to let you know, B) is incorrect since you must write "the" in this context, and C) is incorrect because you're using "is" for a plural subject.







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited 1 hour ago

























answered 2 hours ago









JaviJavi

2,9362829




2,9362829








  • 2




    $begingroup$
    I have two questions. First, my advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it correct?. Second, you wrote "One of the most important ... are..." . I think the verb should be "is" not "are". Am I right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    The Vandermonde matrices are a family. It is incorrect so say "the Vandermonde matrices is a family" because the subject is "the Vandermonde matrices" not "family". In the sentece they're written in opposite order, but the syntax is the same.
    $endgroup$
    – Javi
    2 hours ago








  • 1




    $begingroup$
    Not all papers are perfectly grammatically correct. And sometimes there are those kinds of conventions. The important thing is to be understood, so you can first ask your colleagues if something sounds weird or not to them.
    $endgroup$
    – Javi
    1 hour ago








  • 1




    $begingroup$
    I have a question. Maybe it was a simple question, but I would like to ask it. Why did you use "the" before Vandermonde matrices. Thanks in advance.
    $endgroup$
    – user0410
    1 hour ago






  • 1




    $begingroup$
    If you don't use "the" there is a nuance in the meaning. Without "the" it sounds like some important matrices happen to be Vandermonde matrices, rather than saying that that specific kind of matrices (Vandermonde matrices) are important.
    $endgroup$
    – Javi
    1 hour ago
















  • 2




    $begingroup$
    I have two questions. First, my advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it correct?. Second, you wrote "One of the most important ... are..." . I think the verb should be "is" not "are". Am I right?
    $endgroup$
    – user0410
    2 hours ago






  • 1




    $begingroup$
    The Vandermonde matrices are a family. It is incorrect so say "the Vandermonde matrices is a family" because the subject is "the Vandermonde matrices" not "family". In the sentece they're written in opposite order, but the syntax is the same.
    $endgroup$
    – Javi
    2 hours ago








  • 1




    $begingroup$
    Not all papers are perfectly grammatically correct. And sometimes there are those kinds of conventions. The important thing is to be understood, so you can first ask your colleagues if something sounds weird or not to them.
    $endgroup$
    – Javi
    1 hour ago








  • 1




    $begingroup$
    I have a question. Maybe it was a simple question, but I would like to ask it. Why did you use "the" before Vandermonde matrices. Thanks in advance.
    $endgroup$
    – user0410
    1 hour ago






  • 1




    $begingroup$
    If you don't use "the" there is a nuance in the meaning. Without "the" it sounds like some important matrices happen to be Vandermonde matrices, rather than saying that that specific kind of matrices (Vandermonde matrices) are important.
    $endgroup$
    – Javi
    1 hour ago










2




2




$begingroup$
I have two questions. First, my advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it correct?. Second, you wrote "One of the most important ... are..." . I think the verb should be "is" not "are". Am I right?
$endgroup$
– user0410
2 hours ago




$begingroup$
I have two questions. First, my advisory told me "the Vandermonde matrix" is incorrect, since it is written as if there existed only one Vandermonde matrix. Is it correct?. Second, you wrote "One of the most important ... are..." . I think the verb should be "is" not "are". Am I right?
$endgroup$
– user0410
2 hours ago




1




1




$begingroup$
The Vandermonde matrices are a family. It is incorrect so say "the Vandermonde matrices is a family" because the subject is "the Vandermonde matrices" not "family". In the sentece they're written in opposite order, but the syntax is the same.
$endgroup$
– Javi
2 hours ago






$begingroup$
The Vandermonde matrices are a family. It is incorrect so say "the Vandermonde matrices is a family" because the subject is "the Vandermonde matrices" not "family". In the sentece they're written in opposite order, but the syntax is the same.
$endgroup$
– Javi
2 hours ago






1




1




$begingroup$
Not all papers are perfectly grammatically correct. And sometimes there are those kinds of conventions. The important thing is to be understood, so you can first ask your colleagues if something sounds weird or not to them.
$endgroup$
– Javi
1 hour ago






$begingroup$
Not all papers are perfectly grammatically correct. And sometimes there are those kinds of conventions. The important thing is to be understood, so you can first ask your colleagues if something sounds weird or not to them.
$endgroup$
– Javi
1 hour ago






1




1




$begingroup$
I have a question. Maybe it was a simple question, but I would like to ask it. Why did you use "the" before Vandermonde matrices. Thanks in advance.
$endgroup$
– user0410
1 hour ago




$begingroup$
I have a question. Maybe it was a simple question, but I would like to ask it. Why did you use "the" before Vandermonde matrices. Thanks in advance.
$endgroup$
– user0410
1 hour ago




1




1




$begingroup$
If you don't use "the" there is a nuance in the meaning. Without "the" it sounds like some important matrices happen to be Vandermonde matrices, rather than saying that that specific kind of matrices (Vandermonde matrices) are important.
$endgroup$
– Javi
1 hour ago






$begingroup$
If you don't use "the" there is a nuance in the meaning. Without "the" it sounds like some important matrices happen to be Vandermonde matrices, rather than saying that that specific kind of matrices (Vandermonde matrices) are important.
$endgroup$
– Javi
1 hour ago













2












$begingroup$

B and C are grammatically incorrect: in B there should be an article before "Vandermonde" and in C, there should be agreement in number. As Javi comments, A is wrong on mathematical grounds: there is a whole family of Vandermonde matrices.






share|cite|improve this answer











$endgroup$









  • 1




    $begingroup$
    Thanks for your useful answer.
    $endgroup$
    – user0410
    1 hour ago
















2












$begingroup$

B and C are grammatically incorrect: in B there should be an article before "Vandermonde" and in C, there should be agreement in number. As Javi comments, A is wrong on mathematical grounds: there is a whole family of Vandermonde matrices.






share|cite|improve this answer











$endgroup$









  • 1




    $begingroup$
    Thanks for your useful answer.
    $endgroup$
    – user0410
    1 hour ago














2












2








2





$begingroup$

B and C are grammatically incorrect: in B there should be an article before "Vandermonde" and in C, there should be agreement in number. As Javi comments, A is wrong on mathematical grounds: there is a whole family of Vandermonde matrices.






share|cite|improve this answer











$endgroup$



B and C are grammatically incorrect: in B there should be an article before "Vandermonde" and in C, there should be agreement in number. As Javi comments, A is wrong on mathematical grounds: there is a whole family of Vandermonde matrices.







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited 1 hour ago

























answered 2 hours ago









kimchi loverkimchi lover

11.2k31229




11.2k31229








  • 1




    $begingroup$
    Thanks for your useful answer.
    $endgroup$
    – user0410
    1 hour ago














  • 1




    $begingroup$
    Thanks for your useful answer.
    $endgroup$
    – user0410
    1 hour ago








1




1




$begingroup$
Thanks for your useful answer.
$endgroup$
– user0410
1 hour ago




$begingroup$
Thanks for your useful answer.
$endgroup$
– user0410
1 hour ago











0












$begingroup$

I'd write:




Some of the important matrices in coding theory are Vandermonde matrices.







share|cite|improve this answer









$endgroup$













  • $begingroup$
    I like your answer. It is a clear and simple sentence. Thanks
    $endgroup$
    – user0410
    1 hour ago
















0












$begingroup$

I'd write:




Some of the important matrices in coding theory are Vandermonde matrices.







share|cite|improve this answer









$endgroup$













  • $begingroup$
    I like your answer. It is a clear and simple sentence. Thanks
    $endgroup$
    – user0410
    1 hour ago














0












0








0





$begingroup$

I'd write:




Some of the important matrices in coding theory are Vandermonde matrices.







share|cite|improve this answer









$endgroup$



I'd write:




Some of the important matrices in coding theory are Vandermonde matrices.








share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered 1 hour ago









BernardBernard

123k741116




123k741116












  • $begingroup$
    I like your answer. It is a clear and simple sentence. Thanks
    $endgroup$
    – user0410
    1 hour ago


















  • $begingroup$
    I like your answer. It is a clear and simple sentence. Thanks
    $endgroup$
    – user0410
    1 hour ago
















$begingroup$
I like your answer. It is a clear and simple sentence. Thanks
$endgroup$
– user0410
1 hour ago




$begingroup$
I like your answer. It is a clear and simple sentence. Thanks
$endgroup$
– user0410
1 hour ago


















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid …



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3149916%2fhow-to-use-of-the-before-known-matrices%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







-

Popular posts from this blog

Сан-Квентин

Image
Сан-Квентин Местоположение Сан-Квентин, Калифорния Координаты 37°56′13″ с. ш. 122°29′20″ з. д. H G Я O L Текущий статус Действует Режим безопасности минимальный и максимальный Количество мест 3 302 Открытие Июнь 1852 Находится в ведомстве California Department of Corrections and Rehabilitation Начальник Mike Martel, начальник  Сан-Квентин на Викискладе Сан-Квентин (англ.  San Quentin ) — тюрьма, располагающаяся на 432 акрах (около 1,7 км²), на мысе Сан-Квентин, в округе Марин, штат Калифорния, США. Тюрьма штата Калифорния Сан-Квентин была открыта в июле 1852 года и является старейшей в штате. Она была построена заключёнными, которые проживали в течение строительства на тюремном судне Вабан. В Сан-Квентине отбывали наказание и мужчины, и женщины до 1934 года, когда построили женскую тюрьму в Техачапи и туда перевели всех заключённых женщин. В Сан-Квентине приводятся в исполнение смертные казни, для этого имеется газовая камера, но...
Read more

8-я гвардейская общевойсковая армия

Image
8-я гвардейская общевойсковая ордена Ленина армия Награды: Войска: РККА → Советская армия → СВ России Род войск: Формирование: 1943 Расформирование (преобразование): 1992 Предшественник: 62-я армия (1942—43) → 8-я гвардейская общевойсковая армия (1943—92) → 8-й гвардейский армейский корпус (1992—98) Боевой путь Изюм-Барвенковская операция Донбасская операция Запорожская операция Битва за Днепр Днепропетровская операция Березнеговато-Снигирёвская операция Одесская операция Люблин-Брестская операция Варшавско-Познанская операция Восточно-Померанская операция Берлинская наступательная операция У этого термина существуют и другие значения, см. 8-я армия. Фотография Гвардейского Красного Знамени (лицевая сторона) 8-й гвардейской армии , образца 1943 года. Фотография Гвардейского Красного Знамени (оборотная сторона) 8-й гвардейской армии , образца 1943 года. 8-я гвардейская общевойсковая ордена Ленина армия  — гвардейское фор...
Read more

Алькесар

Image
Муниципалитет Алькесар Alquézar Герб 42°10′16″ с. ш. 0°01′27″ в. д. H G Я O L Страна Испания   Испания Автономное сообщество Арагон Провинция Уэска Комарка Сомонтано-де-Барбастро Алькальд Хосе Марияно Альтемир Ласкорс (ИСРП) История и география Площадь 32,36 км² Высота НУМ 660 м Часовой пояс UTC+1, летом UTC+2 Население Население 313 человек ( 2010 ) Плотность 9,92 чел./км² Этнохороним alquezarano/-a Цифровые идентификаторы Телефонный код +34 974 Почтовые индексы 22112 Автомобильный код HU alquezar.org   (исп.) Показать/скрыть карты Алькесар Алькесар Алькесар  Аудио, фото и видео на Викискладе Алькесар (исп.  Alquézar ) — муниципалитет в Испании, входит в провинцию Уэска, в составе автономного сообщества Арагон. Муниципалитет находится в составе района (комарки) Сомонтано-де-Барбастро. Занимает площадь 32,36 км². Население — 321 челове...
Read more