List questions from matrix-rank

Published on 14 Nov 2014 - 16:13

670

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Rank of a matrix representing disjointness of the powerset of $\{1, \ldots, n\}$

Published on 15 Nov 2014 - 8:23

100

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Optimizing rank computation for very large sparse matrices

Published on 17 Nov 2014 - 1:48

1.1k

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Similarity of linear transformations

Published on 17 Nov 2014 - 17:14

142

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Is it right for chain rule in trace function?

Published on 18 Nov 2014 - 1:22

316

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True or false? Prove it.

Published on 18 Nov 2014 - 23:04

42

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Echelon form proof

Published on 18 Nov 2014 - 23:45

82

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Rank of a matrix shifted by all one matrix over any field

Published on 19 Nov 2014 - 6:03

3.3k

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What is the limit of the rank of the power of a matrix?

Published on 19 Nov 2014 - 15:27

1.3k

Views

matrix rank over finite field

Published on 19 Nov 2014 - 15:35

299

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Construct an example matrix such that $\mathbf A \mathbf A^T$ is not invertible

Published on 22 Nov 2014 - 5:52

267

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$rank(T^n) = rank(T^m)$ for any positive integer $m \geq n$

Published on 22 Nov 2014 - 22:22

166

Views

For $n\times n$ matrices $A,B,$ and $C,$ is it always true that $\mathrm{rank}(ABC)\leq\mathrm{rank}(AC)$?

Published on 30 Nov 2014 - 5:31

130

Views

Rank of a linear transformation $T(x_1,x_2)=(x_1-x_2,5x_1)$

Published on 02 Dec 2014 - 21:37

2k

Views

Why can SVD handle rank-deficient matrices?

Published on 26 Mar 2026 - 12:33

List Question

Finding rank of a matrix depending on parameters $a,b$

Rank of a matrix representing disjointness of the powerset of $\{1, \ldots, n\}$

Optimizing rank computation for very large sparse matrices

Similarity of linear transformations

Is it right for chain rule in trace function?

True or false? Prove it.

Echelon form proof

Rank of a matrix shifted by all one matrix over any field

What is the limit of the rank of the power of a matrix?

matrix rank over finite field

Construct an example matrix such that $\mathbf A \mathbf A^T$ is not invertible

$rank(T^n) = rank(T^m)$ for any positive integer $m \geq n$

For $n\times n$ matrices $A,B,$ and $C,$ is it always true that $\mathrm{rank}(ABC)\leq\mathrm{rank}(AC)$?

Rank of a linear transformation $T(x_1,x_2)=(x_1-x_2,5x_1)$

Why can SVD handle rank-deficient matrices?

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