Null space of a matrix [closed]Find a matrix with the null space equal to the column space of that matrixVisulizing column/row space and null/left null space, A and xNull/Col/Row space be a lineplane through the origin?Why the column space of a matrix is useful?how to find null space basis directly by matrix calculationNull space of $A$ is orthogonal to column space of $A^*$ but orthogonal to $A^T$Question about Column Space Matrix multiplication propertiesWhy does $A^2=0$ imply that the column space is a subset of the null spaceBasis and dimension of row/column spaceFind the basis of the Null space and the column space.
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Null space of a matrix [closed]
Find a matrix with the null space equal to the column space of that matrixVisulizing column/row space and null/left null space, A and xNull/Col/Row space be a lineplane through the origin?Why the column space of a matrix is useful?how to find null space basis directly by matrix calculationNull space of $A$ is orthogonal to column space of $A^*$ but orthogonal to $A^T$Question about Column Space Matrix multiplication propertiesWhy does $A^2=0$ imply that the column space is a subset of the null spaceBasis and dimension of row/column spaceFind the basis of the Null space and the column space.
$begingroup$
A is a matrix which has two special solutions to $Ax=0$, all other solutions are linear combinations of the special solutions. They are $(3,1,4,0,5)$ and $(2,0,2,1,2)$.
$C$ is a matrix that is the same as $A$ except its second column is $(textcol 2text of A) - (textcol 1text of A)$. What is a basis for the nullspace of $C$?
linear-algebra matrices
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
$endgroup$
migration rejected from mathoverflow.net Mar 15 at 3:21
This question came from our site for professional mathematicians. Votes, comments, and answers are locked due to the question being closed here, but it may be eligible for editing and reopening on the site where it originated.
closed as off-topic by Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan Mar 15 at 3:21
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan
comments disabled on deleted / locked posts / reviews |
$begingroup$
A is a matrix which has two special solutions to $Ax=0$, all other solutions are linear combinations of the special solutions. They are $(3,1,4,0,5)$ and $(2,0,2,1,2)$.
$C$ is a matrix that is the same as $A$ except its second column is $(textcol 2text of A) - (textcol 1text of A)$. What is a basis for the nullspace of $C$?
linear-algebra matrices
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
$endgroup$
migration rejected from mathoverflow.net Mar 15 at 3:21
This question came from our site for professional mathematicians. Votes, comments, and answers are locked due to the question being closed here, but it may be eligible for editing and reopening on the site where it originated.
closed as off-topic by Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan Mar 15 at 3:21
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan
$begingroup$
And what is the work you have done? cite the definition of null space, basis and what you can not or do not know how to do.
$endgroup$
– Arjang
Mar 15 at 1:50
$begingroup$
What you call special solutions is what we'd call a basis.
$endgroup$
– Don Thousand
Mar 15 at 1:52
$begingroup$
I quite like this question. It's a nice little exercise in linear algebra. But, unfortunately, your question doesn't meet the site standards. In particular, we require some context, particularly your own thoughts/attempts at the problem (they don't have to be good attempts, just whatever comes to mind). If you're so stuck that you don't have anything to offer there, we recommend you at least write the definitions you know, e.g. basis and nulllspace. If you do this, I would be glad to help! :-)
$endgroup$
– Theo Bendit
Mar 15 at 2:34
comments disabled on deleted / locked posts / reviews |
$begingroup$
A is a matrix which has two special solutions to $Ax=0$, all other solutions are linear combinations of the special solutions. They are $(3,1,4,0,5)$ and $(2,0,2,1,2)$.
$C$ is a matrix that is the same as $A$ except its second column is $(textcol 2text of A) - (textcol 1text of A)$. What is a basis for the nullspace of $C$?
linear-algebra matrices
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
$endgroup$
A is a matrix which has two special solutions to $Ax=0$, all other solutions are linear combinations of the special solutions. They are $(3,1,4,0,5)$ and $(2,0,2,1,2)$.
$C$ is a matrix that is the same as $A$ except its second column is $(textcol 2text of A) - (textcol 1text of A)$. What is a basis for the nullspace of $C$?
linear-algebra matrices
linear-algebra matrices
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
edited Mar 15 at 2:33
Theo Bendit
19.8k12354
19.8k12354
asked Mar 15 at 1:29
horselurrver
migration rejected from mathoverflow.net Mar 15 at 3:21
This question came from our site for professional mathematicians. Votes, comments, and answers are locked due to the question being closed here, but it may be eligible for editing and reopening on the site where it originated.
closed as off-topic by Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan Mar 15 at 3:21
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan
migration rejected from mathoverflow.net Mar 15 at 3:21
This question came from our site for professional mathematicians. Votes, comments, and answers are locked due to the question being closed here, but it may be eligible for editing and reopening on the site where it originated.
closed as off-topic by Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan Mar 15 at 3:21
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Morgan Rodgers, Saad, Theo Bendit, Shailesh, YiFan
$begingroup$
And what is the work you have done? cite the definition of null space, basis and what you can not or do not know how to do.
$endgroup$
– Arjang
Mar 15 at 1:50
$begingroup$
What you call special solutions is what we'd call a basis.
$endgroup$
– Don Thousand
Mar 15 at 1:52
$begingroup$
I quite like this question. It's a nice little exercise in linear algebra. But, unfortunately, your question doesn't meet the site standards. In particular, we require some context, particularly your own thoughts/attempts at the problem (they don't have to be good attempts, just whatever comes to mind). If you're so stuck that you don't have anything to offer there, we recommend you at least write the definitions you know, e.g. basis and nulllspace. If you do this, I would be glad to help! :-)
$endgroup$
– Theo Bendit
Mar 15 at 2:34
comments disabled on deleted / locked posts / reviews |
$begingroup$
And what is the work you have done? cite the definition of null space, basis and what you can not or do not know how to do.
$endgroup$
– Arjang
Mar 15 at 1:50
$begingroup$
What you call special solutions is what we'd call a basis.
$endgroup$
– Don Thousand
Mar 15 at 1:52
$begingroup$
I quite like this question. It's a nice little exercise in linear algebra. But, unfortunately, your question doesn't meet the site standards. In particular, we require some context, particularly your own thoughts/attempts at the problem (they don't have to be good attempts, just whatever comes to mind). If you're so stuck that you don't have anything to offer there, we recommend you at least write the definitions you know, e.g. basis and nulllspace. If you do this, I would be glad to help! :-)
$endgroup$
– Theo Bendit
Mar 15 at 2:34
$begingroup$
And what is the work you have done? cite the definition of null space, basis and what you can not or do not know how to do.
$endgroup$
– Arjang
Mar 15 at 1:50
$begingroup$
And what is the work you have done? cite the definition of null space, basis and what you can not or do not know how to do.
$endgroup$
– Arjang
Mar 15 at 1:50
$begingroup$
What you call special solutions is what we'd call a basis.
$endgroup$
– Don Thousand
Mar 15 at 1:52
$begingroup$
What you call special solutions is what we'd call a basis.
$endgroup$
– Don Thousand
Mar 15 at 1:52
$begingroup$
I quite like this question. It's a nice little exercise in linear algebra. But, unfortunately, your question doesn't meet the site standards. In particular, we require some context, particularly your own thoughts/attempts at the problem (they don't have to be good attempts, just whatever comes to mind). If you're so stuck that you don't have anything to offer there, we recommend you at least write the definitions you know, e.g. basis and nulllspace. If you do this, I would be glad to help! :-)
$endgroup$
– Theo Bendit
Mar 15 at 2:34
$begingroup$
I quite like this question. It's a nice little exercise in linear algebra. But, unfortunately, your question doesn't meet the site standards. In particular, we require some context, particularly your own thoughts/attempts at the problem (they don't have to be good attempts, just whatever comes to mind). If you're so stuck that you don't have anything to offer there, we recommend you at least write the definitions you know, e.g. basis and nulllspace. If you do this, I would be glad to help! :-)
$endgroup$
– Theo Bendit
Mar 15 at 2:34
comments disabled on deleted / locked posts / reviews |
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$begingroup$
And what is the work you have done? cite the definition of null space, basis and what you can not or do not know how to do.
$endgroup$
– Arjang
Mar 15 at 1:50
$begingroup$
What you call special solutions is what we'd call a basis.
$endgroup$
– Don Thousand
Mar 15 at 1:52
$begingroup$
I quite like this question. It's a nice little exercise in linear algebra. But, unfortunately, your question doesn't meet the site standards. In particular, we require some context, particularly your own thoughts/attempts at the problem (they don't have to be good attempts, just whatever comes to mind). If you're so stuck that you don't have anything to offer there, we recommend you at least write the definitions you know, e.g. basis and nulllspace. If you do this, I would be glad to help! :-)
$endgroup$
– Theo Bendit
Mar 15 at 2:34