List questions from matrix-equations

Published on 10 Apr 2026 - 23:19

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In what cases is $AB = B^T A$

Published on 11 May 2026 - 1:03

151

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how to find such matrices to compute $\sin A$

Published on 11 Apr 2026 - 12:27

889

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Why is there a possible division by zero in the A matrix of a commutator?

Published on 13 Apr 2026 - 16:25

13.3k

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Why is the nullity of an invertible matrix 0?

Published on 10 May 2026 - 21:57

49

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A set of four matrix equations

Published on 10 May 2026 - 20:14

1.1k

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How to compute the minimum norm solutions of Matrix equation?

Published on 10 May 2026 - 14:55

194

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Minimum norm solutions: Integral Equation

Published on 10 May 2026 - 21:09

70

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Matrix derivative of a function

Published on 11 May 2026 - 6:21

1.4k

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How to prove for a PSD matrix $ \lambda _{\min} (A)\operatorname{tr}(B)\le \operatorname{tr}(AB) \le \lambda _{\max} (A)\operatorname{tr}(B)$

Published on 10 May 2026 - 19:38

121

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How tot prove the inequality: $\lambda_{min}(S^TS)\lambda_k(A)\le\lambda(S^TAS)\le\lambda_{max}(S^TS)\lambda_k(A)$

Published on 10 Apr 2026 - 10:20

540

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Find vector $x \not= 0$ that satisfies the equation $Ax = x$.

Published on 14 Apr 2026 - 11:06

38

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Find $A$ that solves $(X^i B - B A^i )Y$ for all $i$

Published on 14 Apr 2026 - 16:59

72

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Can I solve a system of massive linear equations faster if I know the solution to a system with the same matrix $A$.

Published on 26 Mar 2026 - 12:36

110

Views

Make sense of taking 'differential' on both sides of a matrix equation

Published on 10 May 2026 - 19:04

List Question

Finding trace of a matrix by minimal polynolmial

In what cases is $AB = B^T A$

how to find such matrices to compute $\sin A$

Why is there a possible division by zero in the A matrix of a commutator?

Why is the nullity of an invertible matrix 0?

A set of four matrix equations

How to compute the minimum norm solutions of Matrix equation?

Minimum norm solutions: Integral Equation

Matrix derivative of a function

How to prove for a PSD matrix $ \lambda _{\min} (A)\operatorname{tr}(B)\le \operatorname{tr}(AB) \le \lambda _{\max} (A)\operatorname{tr}(B)$

How tot prove the inequality: $\lambda_{min}(S^TS)\lambda_k(A)\le\lambda(S^TAS)\le\lambda_{max}(S^TS)\lambda_k(A)$

Find vector $x \not= 0$ that satisfies the equation $Ax = x$.

Find $A$ that solves $(X^i B - B A^i )Y$ for all $i$

Can I solve a system of massive linear equations faster if I know the solution to a system with the same matrix $A$.

Make sense of taking 'differential' on both sides of a matrix equation

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