List questions from matrix-equations

Published on 11 Apr 2026 - 9:07

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solving equation with linear span (using row reduction)

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Why algebraic Lyapunov equation has an unique solution?

Published on 10 Apr 2026 - 12:34

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Solve for X where Sum(A.X+C).(A.X + C) = X

Published on 11 Apr 2026 - 18:23

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Invertibility of infinite order matrix

Published on 07 Apr 2026 - 10:03

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When is ${(1-t^2)^{-N/2}}{\det(f_t(A))}$ expressible as polynomial?

Published on 21 May 2015 - 7:02

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How to determine if the set of vectors are linearly dependent or independent

Published on 21 May 2015 - 15:46

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How do you find the $4\times 4$ matrix corresponding to the transformation T with respect to the basis?

Published on 11 Apr 2026 - 4:54

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Solution to $A = BX + YC$ where $A$ is a square matrix of rank $n$, $B,C$ known, rank $m<n$

Published on 02 Apr 2026 - 5:01

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Linear Algebra - Change of basis

Published on 11 Apr 2026 - 12:05

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If $\,A^3-A+I=0,\,$ then $A$ is invertible

Published on 07 Apr 2026 - 11:33

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Gaussian elimination problem

Published on 09 Apr 2026 - 2:21

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Proof: $|||AB|||^ \frac{1}{2} \leq |||A ^ \frac{1}{2}B ^ \frac{1}{2}||| $?

Published on 25 May 2015 - 15:16

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Solve matrix equation $e^A=e^B$ for nilpotent $A, B$.

Published on 26 Mar 2026 - 21:07

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Let A and B be n*n matrices such that trace(A)<0<trace(B).

Published on 27 May 2015 - 18:50

List Question

How to get the unique generalized inverse matrix that we need？

solving equation with linear span (using row reduction)

Why algebraic Lyapunov equation has an unique solution?

Solve for X where Sum(A.X+C).(A.X + C) = X

Invertibility of infinite order matrix

When is ${(1-t^2)^{-N/2}}{\det(f_t(A))}$ expressible as polynomial?

How to determine if the set of vectors are linearly dependent or independent

How do you find the $4\times 4$ matrix corresponding to the transformation T with respect to the basis?

Solution to $A = BX + YC$ where $A$ is a square matrix of rank $n$, $B,C$ known, rank $m<n$

Linear Algebra - Change of basis

If $\,A^3-A+I=0,\,$ then $A$ is invertible

Gaussian elimination problem

Proof: $|||AB|||^ \frac{1}{2} \leq |||A ^ \frac{1}{2}B ^ \frac{1}{2}||| $?

Solve matrix equation $e^A=e^B$ for nilpotent $A, B$.

Let A and B be n*n matrices such that trace(A)<0<trace(B).

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