Question

Exercise 13, Section 7.2 of Hoffman’s Linear Algebra

score 74 · Answer 1 · 2026-04-09 09:16:11

74

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Exercise 13, Section 7.2 of Hoffman’s Linear Algebra

Published on 09 Apr 2026 - 9:16

score 80 · Answer 2 · 2026-03-25 11:21:48

80

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How to transform the Arbitrary Rotation Matrix A to a coordinate system where the Z axis lies along the axis of rotation by Similarity Transformation?

Published on 25 Mar 2026 - 11:21

score 215 · Answer 3 · 2026-03-25 11:19:15

215

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How to find the similarity transformation matrix?

Published on 25 Mar 2026 - 11:19

score 85 · Answer 4 · 2026-03-25 11:22:24

85

Views

Finding block triangular matrix similar to "almost symmetric" block matrix

Published on 25 Mar 2026 - 11:22

score 80 · Answer 5 · 2026-03-25 11:19:01

80

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If two matrices have the same eigenvalues and dimensions of eigenspaces, are they similar?

Published on 25 Mar 2026 - 11:19

score 279 · Answer 6 · 2026-03-25 11:21:24

279

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Conjecture: Any two matrices of size $n×n$ with same characteristic and minimal polynomial are similar implies $n\le 3$.

Published on 25 Mar 2026 - 11:21

score 93 · Answer 7 · 2026-05-01 23:12:55

93

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Some clarification over matrix congruence, matrix similarity, and the (finite-dim) spectral theorem

Published on 01 May 2026 - 23:12

score 192 · Answer 8 · 2026-03-25 11:21:23

192

Views

If the matrices $A$ and $B$ are similar, then are $AB$ and $BA$ similar?

Published on 25 Mar 2026 - 11:21

score 236 · Answer 9 · 2026-03-25 11:24:06

236

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Are $\begin{bmatrix} 1 & 0 \\ 1 & 0 \end{bmatrix}$ and $\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$ similar?

Published on 25 Mar 2026 - 11:24

score 71 · Answer 10 · 2026-03-25 11:20:09

71

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Orthogonal solution of matrix equation $ {\bf X} {\bf A} {\bf X}^\top = {\bf B} $

Published on 25 Mar 2026 - 11:20

score 83 · Answer 11 · 2026-03-25 11:20:12

83

Views

Checking a proof about the structure of the matrix of a linear transformation

Published on 25 Mar 2026 - 11:20

score 60 · Answer 12 · 2026-04-15 23:06:52

60

Views

How to compute quickly the Jordan normal form of a product of the form $B A \operatorname{adj} B$?

Published on 15 Apr 2026 - 23:06

score 69 · Answer 13 · 2026-03-25 11:23:36

69

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Rank and similarity transformation of an idempotent matrix

Published on 25 Mar 2026 - 11:23

score 148 · Answer 14 · 2026-05-10 17:44:33

148

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Cube roots of the identity matrix

Published on 10 May 2026 - 17:44

score 24 · Answer 15 · 2026-03-25 11:22:25

24

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How to judge permutation-similarity from eigenvalues?

Published on 25 Mar 2026 - 11:22

List Question

Exercise 13, Section 7.2 of Hoffman’s Linear Algebra

How to transform the Arbitrary Rotation Matrix A to a coordinate system where the Z axis lies along the axis of rotation by Similarity Transformation?

How to find the similarity transformation matrix?

Finding block triangular matrix similar to "almost symmetric" block matrix

If two matrices have the same eigenvalues and dimensions of eigenspaces, are they similar?

Conjecture: Any two matrices of size $n×n$ with same characteristic and minimal polynomial are similar implies $n\le 3$.

Some clarification over matrix congruence, matrix similarity, and the (finite-dim) spectral theorem

If the matrices $A$ and $B$ are similar, then are $AB$ and $BA$ similar?

Are $\begin{bmatrix} 1 & 0 \\ 1 & 0 \end{bmatrix}$ and $\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$ similar?

Orthogonal solution of matrix equation $ {\bf X} {\bf A} {\bf X}^\top = {\bf B} $

Checking a proof about the structure of the matrix of a linear transformation

How to compute quickly the Jordan normal form of a product of the form $B A \operatorname{adj} B$?

Rank and similarity transformation of an idempotent matrix

Cube roots of the identity matrix

How to judge permutation-similarity from eigenvalues?

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