List questions from matrix-equations

Published on 08 Dec 2018 - 16:03

34

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Assuming matrices $A,B,C \;\text{and}\;D\;$ are $ n\times n,$ show two ways that $(A+B)(C+D)=AC+AD+BC+BD$

Published on 26 Mar 2026 - 4:36

93

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Derivative of matrix expression $(Y − A\beta)^TW(Y − A\beta)$ wrt $\beta$.

Published on 27 Mar 2026 - 1:46

113

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Find $A$ given $A^2$ and $B$ and $(A^2)^{-1} = A^{-1}B$

Published on 10 Dec 2018 - 9:47

66

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Solving linear equations system using inverse matrix and finding back this matrix by using linear equations

Published on 28 Mar 2026 - 2:41

453

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linear combination of some matrices is identity matrix

Published on 25 Mar 2026 - 6:11

800

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How do determine whether a subset is a subspace?

Published on 10 Dec 2018 - 15:43

230

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How to find a matrix with characteristic equation?

Published on 27 Mar 2026 - 1:50

1k

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Express matrix in more compact form

Published on 10 Dec 2018 - 19:15

11.4k

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Checking if a vector is in a subspace?

Published on 11 Dec 2018 - 16:18

813

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Making column sum of adjacency matrix even.

Published on 13 Dec 2018 - 5:37

307

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What is the $n$-time iterated adjugate of an $n\times n$ matrix $A$?

Published on 25 Mar 2026 - 20:36

42

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If $v_1 = 2v_1-3v_2 + 2v_3$ then ${v_1, v_2, v_3}$ is a linearly dependent amount.

Published on 13 Dec 2018 - 14:06

817

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Show that if $(A+2I)^2=0$, then $A+\lambda I$ is invertible for $\lambda \ne 2$.

Published on 27 Mar 2026 - 0:03

52

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How to find a matrix that transforms vectors from basis $B$ into vectors from basis $C$?

Published on 26 Mar 2026 - 16:26

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Question about solution to matrix equation

Assuming matrices $A,B,C \;\text{and}\;D\;$ are $ n\times n,$ show two ways that $(A+B)(C+D)=AC+AD+BC+BD$

Derivative of matrix expression $(Y − A\beta)^TW(Y − A\beta)$ wrt $\beta$.

Find $A$ given $A^2$ and $B$ and $(A^2)^{-1} = A^{-1}B$

Solving linear equations system using inverse matrix and finding back this matrix by using linear equations

linear combination of some matrices is identity matrix

How do determine whether a subset is a subspace?

How to find a matrix with characteristic equation?

Express matrix in more compact form

Checking if a vector is in a subspace?

Making column sum of adjacency matrix even.

What is the $n$-time iterated adjugate of an $n\times n$ matrix $A$?

If $v_1 = 2v_1-3v_2 + 2v_3$ then ${v_1, v_2, v_3}$ is a linearly dependent amount.

Show that if $(A+2I)^2=0$, then $A+\lambda I$ is invertible for $\lambda \ne 2$.

How to find a matrix that transforms vectors from basis $B$ into vectors from basis $C$?

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