List questions from matrix-equations

Published on 10 Apr 2026 - 17:47

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Generalisation of an expression.

Published on 14 Apr 2026 - 0:43

1.2k

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Linear system $Ax=b$ is inconsistent implies $\det(A)=0$

Published on 13 Apr 2026 - 15:20

122

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Linear matrix equation involving $\sum_i A_i X B_i$

Published on 10 Apr 2026 - 7:07

32

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Must the vector multiplied by an orthogonal matrix be unique in order to get a unique resultant vector?

Published on 23 Apr 2026 - 6:39

91

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How to differentiate functions in matrices

Published on 08 Apr 2026 - 20:24

252

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Matrix equation $X+AX-XA^2=0$ has only zero solution

Published on 17 Apr 2026 - 11:44

65

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In the case where ⊕ is involved as a composite system M1 ⊕ M2, what kind of equation does ⊕ denote?

Published on 11 Apr 2026 - 3:52

94

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Gaussian elimination to solve half of vector values while the other values are varied

Published on 23 Apr 2026 - 6:32

242

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What could be the matrix of Transformation that has no effect on vectors? The vectors are $T(x)=(x)$.

Published on 17 Apr 2026 - 1:46

109

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Understanding a Hermitian Matrix Derivation in a Mechanics Spring Setting

Published on 11 Apr 2026 - 21:17

45

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Linear equations Systems and parameter

Published on 12 Apr 2026 - 6:14

88

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Block-matrix inverse of $\left(\begin{array}{ccc} I_N & - A & - B\\ - A^{\top} & NI_M & 0\\ - B^{\top} & 0 & NI_K \end{array}\right)$

Published on 17 Apr 2026 - 6:06

98

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Proof Verification: Prove that $AB-BA=A$ is false, given $A$ is invertible

Published on 10 Apr 2026 - 7:29

38

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Given a matrix A of $4 \times 5$ and $\text{rank}(A)=2$ proposition.

Published on 13 Apr 2026 - 15:15

List Question

Evaluating the matrix polynomial

Generalisation of an expression.

Linear system $Ax=b$ is inconsistent implies $\det(A)=0$

Linear matrix equation involving $\sum_i A_i X B_i$

Must the vector multiplied by an orthogonal matrix be unique in order to get a unique resultant vector?

How to differentiate functions in matrices

Matrix equation $X+AX-XA^2=0$ has only zero solution

In the case where ⊕ is involved as a composite system M1 ⊕ M2, what kind of equation does ⊕ denote?

Gaussian elimination to solve half of vector values while the other values are varied

What could be the matrix of Transformation that has no effect on vectors? The vectors are $T(x)=(x)$.

Understanding a Hermitian Matrix Derivation in a Mechanics Spring Setting

Linear equations Systems and parameter

Block-matrix inverse of $\left(\begin{array}{ccc} I_N & - A & - B\\ - A^{\top} & NI_M & 0\\ - B^{\top} & 0 & NI_K \end{array}\right)$

Proof Verification: Prove that $AB-BA=A$ is false, given $A$ is invertible

Given a matrix A of $4 \times 5$ and $\text{rank}(A)=2$ proposition.

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