List questions from linear-algebra

Published on 25 Mar 2026 - 15:58

159

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Proof explanation about the computation of a certain determinant by Sylvester's theorem

Published on 25 Mar 2026 - 7:15

57

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optimizing a system of equation which its variables and parameters are matrices

Published on 24 Mar 2026 - 21:22

61

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Matrix of transformation $F(x,y,z) = (x,y,z)$

Published on 26 Mar 2026 - 20:41

60

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$F: R_{n}[X] → R_{n}[X] , F(f) = f'$. Find ker(F) and im(F)

Published on 26 Mar 2026 - 22:25

104

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$(\text{Im}(T^*))^0 = \ker(T)$?

Published on 26 Mar 2026 - 22:15

91

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Vector space obtained from translation of a affine space

Published on 27 Jan 2018 - 18:54

800

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Check for linear dependence in R3, given 4D vectors

Published on 25 Mar 2026 - 9:24

976

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Proof that the all bases of a subspace V consist of the same number of vectors?

Published on 25 Mar 2026 - 7:21

280

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Let $A,B\in M_n(\mathbb{R})$, Prove $\det\begin{pmatrix} A & -B\\ B & A \end{pmatrix}=|\det(A+iB)|^2$

Published on 25 Mar 2026 - 11:16

127

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Does this notation represent composition of two functions or multiplication?

Published on 27 Jan 2018 - 21:19

561

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Composition of bounded linear operator and an inverse of a linear operator bounded?

Published on 23 Mar 2026 - 12:18

166

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Formula for eigenvector corresponding to a simple eigenvalue

Published on 22 Mar 2026 - 5:57

3.3k

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find the closest point using orthogonal projection

Published on 25 Mar 2026 - 11:10

657

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$U$ is invariant under all $T\in\mathcal{L}(V)$

Published on 22 Mar 2026 - 13:00

List Question

A Change of Basis.

Proof explanation about the computation of a certain determinant by Sylvester's theorem

optimizing a system of equation which its variables and parameters are matrices

Matrix of transformation $F(x,y,z) = (x,y,z)$

$F: R_{n}[X] → R_{n}[X] , F(f) = f'$. Find ker(F) and im(F)

$(\text{Im}(T^*))^0 = \ker(T)$?

Vector space obtained from translation of a affine space

Check for linear dependence in R3, given 4D vectors

Proof that the all bases of a subspace V consist of the same number of vectors?

Let $A,B\in M_n(\mathbb{R})$, Prove $\det\begin{pmatrix} A & -B\\ B & A \end{pmatrix}=|\det(A+iB)|^2$

Does this notation represent composition of two functions or multiplication?

Composition of bounded linear operator and an inverse of a linear operator bounded?

Formula for eigenvector corresponding to a simple eigenvalue

find the closest point using orthogonal projection

$U$ is invariant under all $T\in\mathcal{L}(V)$

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