List questions from matrix-equations

Published on 25 Apr 2018 - 19:43

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

Published on 25 Mar 2026 - 6:11

148

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

Published on 28 Apr 2018 - 8:09

886

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

Published on 28 Apr 2018 - 23:21

13.3k

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Why is the nullity of an invertible matrix 0?

Published on 25 Mar 2026 - 6:03

45

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A set of four matrix equations

Published on 25 Mar 2026 - 4:37

1.1k

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How to compute the minimum norm solutions of Matrix equation?

Published on 25 Mar 2026 - 16:12

190

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Minimum norm solutions: Integral Equation

Published on 25 Mar 2026 - 7:40

66

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Matrix derivative of a function

Published on 25 Mar 2026 - 14:12

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 25 Mar 2026 - 4:41

118

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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 04 May 2018 - 2:04

537

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

Published on 04 May 2018 - 16:31

35

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

Published on 05 May 2018 - 0:28

71

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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 22 Mar 2026 - 18:39

107

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

Published on 25 Mar 2026 - 14:26

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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