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Let $A$ be an $n\times n$ singular matrix. Describe how to construct...

score 405 · Answer 1 · 2026-03-24 20:41:27

405

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Let $A$ be an $n\times n$ singular matrix. Describe how to construct...

Published on 24 Mar 2026 - 20:41

score 65 · Answer 2 · 2026-03-25 14:26:13

65

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argue invertibalitiy of $A = B^4 + 3 B^2 + 7 B + 3 I$

Published on 25 Mar 2026 - 14:26

score 89 · Answer 3 · 2026-03-26 15:16:30

89

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about determinant relation in block matrix with non square blocks

Published on 26 Mar 2026 - 15:16

score 1.1k · Answer 4 · 2026-03-30 09:48:28

1.1k

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Interpret the solution of the system $Ax=b$ geometrically

Published on 30 Mar 2026 - 9:48

score 286 · Answer 5 · 2026-03-25 14:12:47

286

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Does $\exp(At)=\exp(Bt)$ for infinitely many $t$ imply $A=B$ where $A,B$ are square matrices?

Published on 25 Mar 2026 - 14:12

score 84 · Answer 6 · 2026-03-25 01:36:21

84

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Show that there exists a $v\in V$ with $v^*(v)=1$

Published on 25 Mar 2026 - 1:36

score 3.3k · Answer 7 · 2026-04-06 13:38:48

3.3k

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Gram Schmidt process on a polynomial

Published on 06 Apr 2026 - 13:38

score 103 · Answer 8 · 2026-03-27 17:51:51

103

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If $AP^2=P^2A$ then $AP=PA$

Published on 27 Mar 2026 - 17:51

score 175 · Answer 9 · 2026-03-25 13:54:13

175

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Bound on determinant of matrix exponential

Published on 25 Mar 2026 - 13:54

score 145 · Answer 10 · 2026-03-25 23:20:50

145

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Rigorous proof of Taylor expansion for matrix square root

Published on 25 Mar 2026 - 23:20

score 1.1k · Answer 11 · 2026-03-25 04:42:31

1.1k

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How to get derivative of $\frac{d}{dX}(X^TX) $ and $\frac{d}{dX}(XX^T) $

Published on 25 Mar 2026 - 4:42

score 200 · Answer 12 · 2026-03-25 11:13:22

200

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Eigenvectors belonging to distinct eigenvalues of a complex symmetric matrix are orthogonal?

Published on 25 Mar 2026 - 11:13

score 57 · Answer 13 · 2018-03-30 15:44:03

$\exists S \subset \mathbb{R}$ s.t. every $x \in \mathbb{R}$ can be represented as a unique linear combination of numbers with rational coefficients

score 66 · Answer 14 · 2018-03-30 16:02:50

66

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True or false (linear dependence)?

Published on 30 Mar 2018 - 16:02

score 762 · Answer 15 · 2026-03-24 23:55:11

762

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What is meant by distinct roots in the characteristic polynomial, in reference to diagonalizing matrices?

Published on 24 Mar 2026 - 23:55

List Question

Let $A$ be an $n\times n$ singular matrix. Describe how to construct...

argue invertibalitiy of $A = B^4 + 3 B^2 + 7 B + 3 I$

about determinant relation in block matrix with non square blocks

Interpret the solution of the system $Ax=b$ geometrically

Does $\exp(At)=\exp(Bt)$ for infinitely many $t$ imply $A=B$ where $A,B$ are square matrices?

Show that there exists a $v\in V$ with $v^*(v)=1$

Gram Schmidt process on a polynomial

If $AP^2=P^2A$ then $AP=PA$

Bound on determinant of matrix exponential

Rigorous proof of Taylor expansion for matrix square root

How to get derivative of $\frac{d}{dX}(X^TX) $ and $\frac{d}{dX}(XX^T) $

Eigenvectors belonging to distinct eigenvalues of a complex symmetric matrix are orthogonal?

$\exists S \subset \mathbb{R}$ s.t. every $x \in \mathbb{R}$ can be represented as a unique linear combination of numbers with rational coefficients

True or false (linear dependence)?

What is meant by distinct roots in the characteristic polynomial, in reference to diagonalizing matrices?

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