Question

Rank of a matrix with block matrices?

score 201 · Answer 1 · 2026-03-25 12:53:04

201

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Rank of a matrix with block matrices?

Published on 25 Mar 2026 - 12:53

score 177 · Answer 2 · 2019-05-18 12:35:54

177

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Proof of the proposition which says that the column rank of $A$ is equal to the row rank of $A$. (Gilbert Strang's new lecture)

Published on 18 May 2019 - 12:35

score 127 · Answer 3 · 2019-05-20 17:49:18

127

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$\operatorname{rank}(A\circ B) = \operatorname{rank}(B)$ iff $\operatorname{Im}(B)\cap \operatorname{Ker}(A)= \{0\}$

Published on 20 May 2019 - 17:49

score 2.2k · Answer 4 · 2019-05-22 23:46:49

2.2k

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QR - Factorization: If A has full rank then R has non-zeros in the diagonal

Published on 22 May 2019 - 23:46

score 816 · Answer 5 · 2019-05-28 04:34:23

816

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Linear algebra- matrix of rank $r$ as product of two matrices of rank $r$

Published on 28 May 2019 - 4:34

score 2k · Answer 6 · 2026-03-26 11:00:44

2k

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How do I determine the rank and signature of a quadratic form

Published on 26 Mar 2026 - 11:00

score 833 · Answer 7 · 2019-06-02 11:38:13

833

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Show that there exists a nonzero column vector $x$ such that $A x = B x = 0$

Published on 02 Jun 2019 - 11:38

score 60 · Answer 8 · 2026-03-26 12:37:48

60

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How to determine the rank of a matrix if on the diagonal it's all zeros?

Published on 26 Mar 2026 - 12:37

score 316 · Answer 9 · 2019-06-02 18:15:58

316

Views

Intuitive perspective of eigenvalues and rank of a matrix

Published on 02 Jun 2019 - 18:15

score 95 · Answer 10 · 2019-06-05 08:07:52

95

Views

The minimum value of the sum of squares of the elements of the matrix

Published on 05 Jun 2019 - 8:07

score 247 · Answer 11 · 2019-06-05 21:02:17

247

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When using Rouché–Capelli theorem should I check rank of augmented matrix if rank of coefficient matrix is max?

Published on 05 Jun 2019 - 21:02

score 40 · Answer 12 · 2019-06-07 07:23:23

40

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To find dimension of nullspace of A

Published on 07 Jun 2019 - 7:23

score 353 · Answer 13 · 2019-06-07 22:32:33

353

Views

$\operatorname{Rank}(ABC) = 1$ true or false

Published on 07 Jun 2019 - 22:32

score 1k · Answer 14 · 2019-06-12 02:29:05

1k

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If $\text{tr}(A) = \text{rank}(A) = 1$, find the Jordan Canonical Form of $A$.

Published on 12 Jun 2019 - 2:29

score 134 · Answer 15 · 2019-06-13 06:29:38

134

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Rank of a Hankel-like rectangular matrix

Published on 13 Jun 2019 - 6:29

List Question

Rank of a matrix with block matrices?

Proof of the proposition which says that the column rank of $A$ is equal to the row rank of $A$. (Gilbert Strang's new lecture)

$\operatorname{rank}(A\circ B) = \operatorname{rank}(B)$ iff $\operatorname{Im}(B)\cap \operatorname{Ker}(A)= \{0\}$

QR - Factorization: If A has full rank then R has non-zeros in the diagonal

Linear algebra- matrix of rank $r$ as product of two matrices of rank $r$

How do I determine the rank and signature of a quadratic form

Show that there exists a nonzero column vector $x$ such that $A x = B x = 0$

How to determine the rank of a matrix if on the diagonal it's all zeros?

Intuitive perspective of eigenvalues and rank of a matrix

The minimum value of the sum of squares of the elements of the matrix

When using Rouché–Capelli theorem should I check rank of augmented matrix if rank of coefficient matrix is max?

To find dimension of nullspace of A

$\operatorname{Rank}(ABC) = 1$ true or false

If $\text{tr}(A) = \text{rank}(A) = 1$, find the Jordan Canonical Form of $A$.

Rank of a Hankel-like rectangular matrix

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