Question

Prove that the bilinear form can be presented as a product of two linear forms

score 588 · Answer 1 · 2026-03-28 01:24:05

588

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Prove that the bilinear form can be presented as a product of two linear forms

Published on 28 Mar 2026 - 1:24

score 281 · Answer 2 · 2026-03-26 06:22:58

281

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Relationship between rank and positive semidefiniteness

Published on 26 Mar 2026 - 6:22

score 489 · Answer 3 · 2015-11-04 22:13:38

489

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Find matrix rank according to parameter value

Published on 04 Nov 2015 - 22:13

score 193 · Answer 4 · 2015-11-05 06:06:58

193

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A is a m x n matrix, what is the formula for the rank in terms of m and Dim Nul(A)?

Published on 05 Nov 2015 - 6:06

score 97 · Answer 5 · 2015-11-05 09:07:28

97

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$A$ is positive semidefinite, $A^{(−1)} = [a^{−1}_{i j} ]$ and, $A^{(−1)}$ be positive semidefinite.Why does $rank A = 1$?

Published on 05 Nov 2015 - 9:07

score 71 · Answer 6 · 2015-11-06 06:07:08

71

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How are these two equal?? (regarding Nullity and rank)

Published on 06 Nov 2015 - 6:07

score 83 · Answer 7 · 2015-11-06 20:27:23

83

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Minimal rank of special matrix

Published on 06 Nov 2015 - 20:27

score 2.4k · Answer 8 · 2026-03-15 04:13:15

2.4k

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Let $A$ be an $8 \times 5$ matrix of rank 3, and let $b$ be a nonzero vector in $N(A^T)$. Show $Ax=b$ must be inconsistent.

Published on 15 Mar 2026 - 4:13

score 15.8k · Answer 9 · 2026-03-30 05:12:07

15.8k

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Connection between rank and positive definiteness

Published on 30 Mar 2026 - 5:12

score 3.9k · Answer 10 · 2026-03-10 10:53:08

3.9k

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Largest eigenvector as the rank-1 approximation

Published on 10 Mar 2026 - 10:53

score 42 · Answer 11 · 2015-11-12 19:56:00

42

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How to penalise unknowns in least-squares solution of system of linear equations

Published on 12 Nov 2015 - 19:56

score 418 · Answer 12 · 2015-11-15 23:40:11

418

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Let $A$ be a 5 X 8 matrix whose rank is 3. Computer dim(Nul($A$))

Published on 15 Nov 2015 - 23:40

score 40 · Answer 13 · 2015-11-16 07:23:11

40

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generalizations of the linearly independence of column vectors in a Vandemonde matrix to higher dimensions

Published on 16 Nov 2015 - 7:23

score 841 · Answer 14 · 2026-03-30 05:13:18

841

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Positive definiteness of the following matrix

Published on 30 Mar 2026 - 5:13

score 979 · Answer 15 · 2015-11-20 02:42:23

979

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Simpler definition for kernel, image, and rank of transformation matrix?

Published on 20 Nov 2015 - 2:42

List Question

Prove that the bilinear form can be presented as a product of two linear forms

Relationship between rank and positive semidefiniteness

Find matrix rank according to parameter value

A is a m x n matrix, what is the formula for the rank in terms of m and Dim Nul(A)?

$A$ is positive semidefinite, $A^{(−1)} = [a^{−1}_{i j} ]$ and, $A^{(−1)}$ be positive semidefinite.Why does $rank A = 1$?

How are these two equal?? (regarding Nullity and rank)

Minimal rank of special matrix

Let $A$ be an $8 \times 5$ matrix of rank 3, and let $b$ be a nonzero vector in $N(A^T)$. Show $Ax=b$ must be inconsistent.

Connection between rank and positive definiteness

Largest eigenvector as the rank-1 approximation

How to penalise unknowns in least-squares solution of system of linear equations

Let $A$ be a 5 X 8 matrix whose rank is 3. Computer dim(Nul($A$))

generalizations of the linearly independence of column vectors in a Vandemonde matrix to higher dimensions

Positive definiteness of the following matrix

Simpler definition for kernel, image, and rank of transformation matrix?

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