Question

how to calculate the rank of the matrix?

score 60 · Answer 1 · 2019-12-10 00:27:01

60

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how to calculate the rank of the matrix?

Published on 10 Dec 2019 - 0:27

score 1.1k · Answer 2 · 2019-12-12 21:42:58

1.1k

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Let $A$ be an upper triangular matrix, show that: $A$ has full rank $\Leftrightarrow$ all numbers on the diagonal $\ne 0$

Published on 12 Dec 2019 - 21:42

score 39 · Answer 3 · 2019-12-15 13:35:53

39

Views

Different way to determine rank of $3\times3$-matrix with parameter by using row transformations

Published on 15 Dec 2019 - 13:35

score 1.3k · Answer 4 · 2019-12-18 09:08:00

1.3k

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What is the dimension of $M(n,\mathbb{C})$ over $\mathbb{R}$?

Published on 18 Dec 2019 - 9:08

score 107 · Answer 5 · 2019-12-18 15:47:32

107

Views

How to prove that $rankA + rankA^{T} \geq rank(A + A^{T}) $?

Published on 18 Dec 2019 - 15:47

score 329 · Answer 6 · 2019-12-18 16:43:02

329

Views

Prove that AB = 0 for two matrices if rank(A) < n

Published on 18 Dec 2019 - 16:43

score 89 · Answer 7 · 2026-03-25 11:04:41

89

Views

A question on row-rank and column-rank for square arrays of vectors

Published on 25 Mar 2026 - 11:04

score 156 · Answer 8 · 2019-12-19 09:31:15

156

Views

Binary matrix optimization, columns and rows sums differences

Published on 19 Dec 2019 - 9:31

score 72 · Answer 9 · 2026-03-25 06:00:32

72

Views

Reference request on the rank computation of symbolic matrices using numerical methods with arbitrary precision

Published on 25 Mar 2026 - 6:00

score 80 · Answer 10 · 2019-12-21 12:57:20

80

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Rank of $\mathbf{C}=[\mathbf{A}\quad\mathbf{B}]$ given $\text{col}(\mathbf{B})\subseteq\text{col}(\mathbf{A})$

Published on 21 Dec 2019 - 12:57

score 237 · Answer 11 · 2026-03-28 10:35:12

237

Views

Determine linear combination of rank 1 matrices for a rank 2 matrix?

Published on 28 Mar 2026 - 10:35

score 232 · Answer 12 · 2019-12-22 06:28:20

232

Views

Rank of linear operator on $M_{3\times 3}(R)$

Published on 22 Dec 2019 - 6:28

score 107 · Answer 13 · 2019-12-22 19:51:07

107

Views

rank and eigenvalues

Published on 22 Dec 2019 - 19:51

score 100 · Answer 14 · 2019-12-25 16:52:59

100

Views

Show that $\mathrm{rank}(I_n-A^TA)-\mathrm{rank}(I_m-AA^T) \geq n-m.$

Published on 25 Dec 2019 - 16:52

score 66 · Answer 15 · 2019-12-27 09:57:06

66

Views

How can I show that $A^{-} A=I_{n} \text { if and only if } \operatorname{rank}(A)=n$?

Published on 27 Dec 2019 - 9:57

List Question

how to calculate the rank of the matrix?

Let $A$ be an upper triangular matrix, show that: $A$ has full rank $\Leftrightarrow$ all numbers on the diagonal $\ne 0$

Different way to determine rank of $3\times3$-matrix with parameter by using row transformations

What is the dimension of $M(n,\mathbb{C})$ over $\mathbb{R}$?

How to prove that $rankA + rankA^{T} \geq rank(A + A^{T}) $?

Prove that AB = 0 for two matrices if rank(A) < n

A question on row-rank and column-rank for square arrays of vectors

Binary matrix optimization, columns and rows sums differences

Reference request on the rank computation of symbolic matrices using numerical methods with arbitrary precision

Rank of $\mathbf{C}=[\mathbf{A}\quad\mathbf{B}]$ given $\text{col}(\mathbf{B})\subseteq\text{col}(\mathbf{A})$

Determine linear combination of rank 1 matrices for a rank 2 matrix?

Rank of linear operator on $M_{3\times 3}(R)$

rank and eigenvalues

Show that $\mathrm{rank}(I_n-A^TA)-\mathrm{rank}(I_m-AA^T) \geq n-m.$

How can I show that $A^{-} A=I_{n} \text { if and only if } \operatorname{rank}(A)=n$?

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