List questions from linear-transformations

Published on 20 Jun 2018 - 13:39

68

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Find linear transformation isomorphism

Published on 20 Jun 2018 - 20:49

48

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Post-hoc transformation a weighted average

Published on 27 Mar 2026 - 15:03

248

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Prove $U \cap \ker T \not = 0$ where $U$ is a subspace of $\mathbf R^5 $

Published on 21 Jun 2018 - 17:26

344

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About change of basis

Published on 26 Mar 2026 - 17:40

81

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Orthogonal group isomorphisam

Published on 27 Mar 2026 - 6:05

133

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given A linear map $T:V\longrightarrow V$, let $\dim V = n$, prove that for every $k\geq n,\ \operatorname{Im}T^{k}\cap \ker T^{k}=\{0\}$.

Published on 22 Jun 2018 - 10:36

358

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Similarity of two rotation matrices

Published on 22 Jun 2018 - 13:37

119

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Find basis of $\ R^2 $ given transformation matrix

Published on 22 Jun 2018 - 20:38

230

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Find matrices that commute with $\operatorname{Diag}(1,1,-1)$.

Published on 29 Mar 2026 - 12:41

804

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How to find the matrix of $T$ with respect to the standard basis of $\mathbb{R}^3$

Published on 23 Jun 2018 - 23:29

429

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If the matrix representation of an orthogonal transformation with respect to a basis is an orthogonal matrix, the basis is an orthonormal basis?

Published on 25 Mar 2026 - 23:42

701

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Isomorphisms between elements in $\mathbb{R}^n$ and $n \times 1$ column matrices

Published on 24 Jun 2018 - 19:44

46

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How do I determine the associated matrix $A_f$ from $\mathbb{R}^2$ to $\mathbb{R}^3$?

Published on 25 Jun 2018 - 11:13

409

Views

Cayley transform of Kronecker sum

Published on 25 Mar 2026 - 1:22

List Question

Find the matrix of linear map $L^n$ with respect to basis $e$

Find linear transformation isomorphism

Post-hoc transformation a weighted average

Prove $U \cap \ker T \not = 0$ where $U$ is a subspace of $\mathbf R^5 $

About change of basis

Orthogonal group isomorphisam

given A linear map $T:V\longrightarrow V$, let $\dim V = n$, prove that for every $k\geq n,\ \operatorname{Im}T^{k}\cap \ker T^{k}=\{0\}$.

Similarity of two rotation matrices

Find basis of $\ R^2 $ given transformation matrix

Find matrices that commute with $\operatorname{Diag}(1,1,-1)$.

How to find the matrix of $T$ with respect to the standard basis of $\mathbb{R}^3$

If the matrix representation of an orthogonal transformation with respect to a basis is an orthogonal matrix, the basis is an orthonormal basis?

Isomorphisms between elements in $\mathbb{R}^n$ and $n \times 1$ column matrices

How do I determine the associated matrix $A_f$ from $\mathbb{R}^2$ to $\mathbb{R}^3$?

Cayley transform of Kronecker sum

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