Question

Which of the following is true about $m \times n $ matrix of rank $n$.

score 1.7k · Answer 1 · 2016-03-10 04:30:13

1.7k

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Which of the following is true about $m \times n $ matrix of rank $n$.

Published on 10 Mar 2016 - 4:30

score 1k · Answer 2 · 2016-03-10 16:54:38

1k

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Proof: If A is diagonalizable, then the rank(A) = number of nonzero eigenvalues of A?

Published on 10 Mar 2016 - 16:54

score 1.1k · Answer 3 · 2016-03-11 20:45:11

1.1k

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in a non-full rank matrix, how to find the dependent rows especifically in MATLAB?

Published on 11 Mar 2016 - 20:45

score 97 · Answer 4 · 2016-03-13 09:10:15

97

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determinant of this symmetric matrix

Published on 13 Mar 2016 - 9:10

score 65 · Answer 5 · 2016-03-13 09:11:21

65

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Full-rank of an (almost) diagnoal matrix

Published on 13 Mar 2016 - 9:11

score 688 · Answer 6 · 2016-03-13 17:06:29

Let $A$ and $B$ be square matrices of order n so that $AB = BA$. Prove $\mathrm{rank}(A+B) \leq \mathrm{rank}(A) + \rm{rank}(B) - \mathrm{rank}(AB)$.

score 52 · Answer 7 · 2016-03-14 19:09:54

52

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Rank of matrix inequality

Published on 14 Mar 2016 - 19:09

score 72 · Answer 8 · 2016-03-14 21:08:59

72

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matrices rank inequality

Published on 14 Mar 2016 - 21:08

score 22 · Answer 9 · 2016-03-16 09:17:16

22

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Elementary tranformations in matrix

Published on 16 Mar 2016 - 9:17

score 134 · Answer 10 · 2026-03-27 03:44:20

134

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Determining if $\operatorname{rank}(A)$ is always equivalent to $\operatorname{rank}(A^t*A)$

Published on 27 Mar 2026 - 3:44

score 448 · Answer 11 · 2016-03-20 20:19:29

448

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Proving rank$(S\circ T)\le$ rank $S$ and null$(S\circ T)\ge$ null $T$

Published on 20 Mar 2016 - 20:19

score 339 · Answer 12 · 2016-03-21 09:52:30

339

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Matrix factorization by a full row rank matrix in MATLAB

Published on 21 Mar 2016 - 9:52

score 351 · Answer 13 · 2016-03-25 20:01:17

351

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Plücker matrix - Rank 2 proof

Published on 25 Mar 2016 - 20:01

score 94 · Answer 14 · 2016-03-29 13:45:56

94

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Show the rank of the following matrix is 2

Published on 29 Mar 2016 - 13:45

score 37 · Answer 15 · 2016-03-30 03:07:03

37

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Why for any $(n-l+1)$ orthogonal unit vectors $\{v_1,...v_{n-l+1}\}$ ,$ \sum\limits_{i=1}^{n-l+1}a_{\alpha\beta}v^\alpha_iv^\beta_i\ge0 $

Published on 30 Mar 2016 - 3:07

List Question

Which of the following is true about $m \times n $ matrix of rank $n$.

Proof: If A is diagonalizable, then the rank(A) = number of nonzero eigenvalues of A?

in a non-full rank matrix, how to find the dependent rows especifically in MATLAB?

determinant of this symmetric matrix

Full-rank of an (almost) diagnoal matrix

Let $A$ and $B$ be square matrices of order n so that $AB = BA$. Prove $\mathrm{rank}(A+B) \leq \mathrm{rank}(A) + \rm{rank}(B) - \mathrm{rank}(AB)$.

Rank of matrix inequality

matrices rank inequality

Elementary tranformations in matrix

Determining if $\operatorname{rank}(A)$ is always equivalent to $\operatorname{rank}(A^t*A)$

Proving rank$(S\circ T)\le$ rank $S$ and null$(S\circ T)\ge$ null $T$

Matrix factorization by a full row rank matrix in MATLAB

Plücker matrix - Rank 2 proof

Show the rank of the following matrix is 2

Why for any $(n-l+1)$ orthogonal unit vectors $\{v_1,...v_{n-l+1}\}$ ,$ \sum\limits_{i=1}^{n-l+1}a_{\alpha\beta}v^\alpha_iv^\beta_i\ge0 $

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