List questions from matrix-equations

356

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Find a matrix $A$ such that $X$ generates the subspace $W$ (the solution space of the system $AX=0$.)

Published on 15 Apr 2026 - 8:16

93

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Example of two matrices $A,B$

Published on 12 Apr 2026 - 21:14

57

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Find $a\in\mathbb{R}$ that satisfies linear transformation, $T(1,−1,1) = (2,a,−1)$, $T(1,−1,2)=(a^2,−1,1)$, $T(1,-1,-1)=(5,-1,-7)$.

Published on 17 Apr 2026 - 0:38

35

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Conditions for solution to equation

Published on 09 Apr 2026 - 12:09

52

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Why can't I prove this set of vectors spans

Published on 14 Apr 2026 - 18:41

96

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Finding the rank of a matrix $A$

Published on 10 Apr 2026 - 3:28

22

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Raising Polygon Matrices to powers

Published on 11 Apr 2026 - 1:15

175

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Verification of process to show that the following vectors span V

Published on 12 Apr 2026 - 15:53

349

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Intuition for solution to Lyapunov equation $AU + UA^T = -C$

Published on 10 Apr 2026 - 7:55

102

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Find the $n$-th power of a $3\times3$ matrix

Published on 12 Apr 2026 - 16:57

44

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Find indices of non-repeating slices of natural number given quantity and group length

Published on 16 Apr 2026 - 0:29

63

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How to find out all the matrices that satisfy $A^TMA=M$, where $M\in SO(n,1)$

Published on 16 Apr 2026 - 18:20

44

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Efficiently solving system of matrix equations

Published on 17 Apr 2026 - 9:48

439

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Algorithm for taking square root of a matrix

Published on 10 Apr 2026 - 18:18

266

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Does it make sense to define the inverse of a matrix of functions?

Published on 10 Apr 2026 - 21:29

List Question

Find a matrix $A$ such that $X$ generates the subspace $W$ (the solution space of the system $AX=0$.)

Example of two matrices $A,B$

Find $a\in\mathbb{R}$ that satisfies linear transformation, $T(1,−1,1) = (2,a,−1)$, $T(1,−1,2)=(a^2,−1,1)$, $T(1,-1,-1)=(5,-1,-7)$.

Conditions for solution to equation

Why can't I prove this set of vectors spans

Finding the rank of a matrix $A$

Raising Polygon Matrices to powers

Verification of process to show that the following vectors span V

Intuition for solution to Lyapunov equation $AU + UA^T = -C$

Find the $n$-th power of a $3\times3$ matrix

Find indices of non-repeating slices of natural number given quantity and group length

How to find out all the matrices that satisfy $A^TMA=M$, where $M\in SO(n,1)$

Efficiently solving system of matrix equations

Algorithm for taking square root of a matrix

Does it make sense to define the inverse of a matrix of functions?

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