List questions from matrix-equations

Published on 09 Apr 2026 - 7:17

199

Views

If $A^3B-B$ is invertible then $BA-B$ is invertible.

Published on 15 Apr 2026 - 21:51

117

Views

Find matrix square roots

Published on 15 Apr 2026 - 19:52

32

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Dividing by vector after factoring out

Published on 13 Apr 2026 - 6:07

191

Views

How to solve for matrix $X$ in equation?

Published on 09 Apr 2026 - 8:28

36

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Triangular Input Balanced

Published on 11 Apr 2026 - 6:49

51

Views

Show that positive definite matrix $S$ can be factorised in particular way

Published on 17 Apr 2026 - 6:27

148

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Show that $\alpha$ divides the determinant of a particular matrix.

Published on 22 Apr 2026 - 11:03

57

Views

PSD Matrix Inequality proof

Published on 24 Apr 2026 - 5:11

579

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If A is an n×n invertible symmetric matrix, then (A^(-1) )^k is symmetric, for any positive integer k.

Published on 14 Apr 2026 - 0:12

604

Views

If A and B are n×n matrices, then |A+B^T |=|A^T+B|

Published on 17 Apr 2026 - 8:36

329

Views

Closed-form solution to intricate matrix equation

Published on 10 Apr 2026 - 1:09

571

Views

Solving linear matrix equation for unknown matrix on both sides of the equation

Published on 12 Apr 2026 - 11:17

37

Views

Trying to vectorize a matrix derivative expression without resorting to a Hadamard product

Published on 24 Apr 2026 - 8:09

666

Views

Is there a shortcut to invert this 3x3 matrix?

Published on 14 Apr 2026 - 5:31

List Question

Vectorizing Huber Loss function

If $A^3B-B$ is invertible then $BA-B$ is invertible.

Find matrix square roots

Dividing by vector after factoring out

How to solve for matrix $X$ in equation?

Triangular Input Balanced

Show that positive definite matrix $S$ can be factorised in particular way

Show that $\alpha$ divides the determinant of a particular matrix.

PSD Matrix Inequality proof

If A is an n×n invertible symmetric matrix, then (A^(-1) )^k is symmetric, for any positive integer k.

If A and B are n×n matrices, then |A+B^T |=|A^T+B|

Closed-form solution to intricate matrix equation

Solving linear matrix equation for unknown matrix on both sides of the equation

Trying to vectorize a matrix derivative expression without resorting to a Hadamard product

Is there a shortcut to invert this 3x3 matrix?

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