List questions from matrix-equations

Published on 12 Apr 2026 - 11:17

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Given $\begin{vmatrix} p & q & r \\ s & t & u \\ v & w & x \end{vmatrix} = -3$, find $\begin{vmatrix}p&2q&5r+4p\\s&2t&5u+4s\\v&2w&5x+4v\end{vmatrix}$.

Published on 16 Apr 2026 - 16:32

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Representation in matrix form

Published on 09 Apr 2026 - 10:55

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Solvability of the linear matrix equation $AX+B\overline{X}=C$?

Published on 14 Apr 2026 - 10:03

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Concavity of a simple matrix equation

Published on 12 Apr 2026 - 9:41

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Exact solution of overdetermined linear system

Published on 13 Apr 2026 - 16:46

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Determine the matrix that rotates the points in the plane counter-clockwise through an angle of $π/2$ about the origin, and ...

Published on 14 Apr 2026 - 11:34

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Find a $3\times 3$ matrix $A\not = I_3$ such that $A^3 = I_{3}$

Published on 15 Apr 2026 - 14:45

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Showing $\lambda^n$ is an eigenvalue of $A^n$

Published on 16 Apr 2026 - 0:13

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facing problem on Matrix equation solving

Published on 09 Apr 2026 - 3:08

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How can I prove that if a matrix $A$ is symmetric so is its transponse $A^T$

Published on 12 Apr 2026 - 9:33

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Solve without matrix inversion.

Published on 11 Apr 2026 - 2:57

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for which values of "a" does the system have one, zero, or infinite solutions? [SOLVED]

Published on 15 Apr 2026 - 8:37

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Find the kernel of T, basis for the kernel of T and the dimension of the kernel of T where $T:M_{2x2} \rightarrow M_{2x2}$

Published on 16 Apr 2026 - 3:38

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Prescribed solutions to a Riccati-type matrix equation

Published on 28 Mar 2026 - 20:07

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Solving matrix equation

Given $\begin{vmatrix} p & q & r \\ s & t & u \\ v & w & x \end{vmatrix} = -3$, find $\begin{vmatrix}p&2q&5r+4p\\s&2t&5u+4s\\v&2w&5x+4v\end{vmatrix}$.

Representation in matrix form

Solvability of the linear matrix equation $AX+B\overline{X}=C$?

Concavity of a simple matrix equation

Exact solution of overdetermined linear system

Determine the matrix that rotates the points in the plane counter-clockwise through an angle of $π/2$ about the origin, and ...

Find a $3\times 3$ matrix $A\not = I_3$ such that $A^3 = I_{3}$

Showing $\lambda^n$ is an eigenvalue of $A^n$

facing problem on Matrix equation solving

How can I prove that if a matrix $A$ is symmetric so is its transponse $A^T$

Solve without matrix inversion.

for which values of "a" does the system have one, zero, or infinite solutions? [SOLVED]

Find the kernel of T, basis for the kernel of T and the dimension of the kernel of T where $T:M_{2x2} \rightarrow M_{2x2}$

Prescribed solutions to a Riccati-type matrix equation

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