Question

Diagonalizable matrix is similar to a diagonal matrix with its eigenvalues as the diagonal entries

score 638 · Answer 1 · 2026-03-25 09:48:44

638

Views

Diagonalizable matrix is similar to a diagonal matrix with its eigenvalues as the diagonal entries

Published on 25 Mar 2026 - 9:48

score 82 · Answer 2 · 2026-03-25 09:50:14

82

Views

Calculating the characteristic polynomials of two similar matrices yields different results. Where's the error?

Published on 25 Mar 2026 - 9:50

score 591 · Answer 3 · 2026-03-25 09:47:08

591

Views

Show that two complex nilpotent matrices are similar

Published on 25 Mar 2026 - 9:47

score 43 · Answer 4 · 2026-04-09 10:32:14

43

Views

Similarity transformation and representation of matrices

Published on 09 Apr 2026 - 10:32

score 243 · Answer 5 · 2026-03-25 09:48:17

243

Views

Question involving an invertible complex matrix.

Published on 25 Mar 2026 - 9:48

score 65 · Answer 6 · 2026-05-10 08:16:13

65

Views

Matrix similarity proof

Published on 10 May 2026 - 8:16

score 57 · Answer 7 · 2026-03-25 09:48:16

57

Views

Uniqueness of orthogonal "permuting" matrices

Published on 25 Mar 2026 - 9:48

score 151 · Answer 8 · 2026-05-10 15:03:09

151

Views

Show an $n\times n$ matrix $A$ is sim. to the companion matrix for $p_A(t)\iff \exists$ a vector $x$ such that $x,Ax,\ldots,A^{n-1}x$ is a basis

Published on 10 May 2026 - 15:03

score 5.3k · Answer 9 · 2026-04-16 13:15:18

5.3k

Views

Find two $2\times2$ matrices which have the same eigenvalues, but are not similar

Published on 16 Apr 2026 - 13:15

score 553 · Answer 10 · 2026-04-17 01:34:41

553

Views

Showing two matrix blocks are similar

Published on 17 Apr 2026 - 1:34

score 71 · Answer 11 · 2026-03-25 09:48:44

71

Views

If two matrices have different characteristic polynomials are they not similar?

Published on 25 Mar 2026 - 9:48

score 410 · Answer 12 · 2026-03-25 09:50:51

410

Views

Block-diagonalization with unitary similarity transformations: ($A \rightarrow U B U^\dagger $, $B$ block-diagonal)

Published on 25 Mar 2026 - 9:50

score 100 · Answer 13 · 2026-03-25 11:22:43

100

Views

Theorem 5, Section 7.2 of Hoffman’s Linear Algebra

Published on 25 Mar 2026 - 11:22

score 107 · Answer 14 · 2026-03-25 09:50:47

107

Views

Exercise 11, Section 7.2 of Hoffman’s Linear Algebra

Published on 25 Mar 2026 - 9:50

score 103 · Answer 15 · 2026-03-25 09:48:32

103

Views

Exercise 12, Section 7.2 of Hoffman’s Linear Algebra

Published on 25 Mar 2026 - 9:48

List Question

Diagonalizable matrix is similar to a diagonal matrix with its eigenvalues as the diagonal entries

Calculating the characteristic polynomials of two similar matrices yields different results. Where's the error?

Show that two complex nilpotent matrices are similar

Similarity transformation and representation of matrices

Question involving an invertible complex matrix.

Matrix similarity proof

Uniqueness of orthogonal "permuting" matrices

Show an $n\times n$ matrix $A$ is sim. to the companion matrix for $p_A(t)\iff \exists$ a vector $x$ such that $x,Ax,\ldots,A^{n-1}x$ is a basis

Find two $2\times2$ matrices which have the same eigenvalues, but are not similar

Showing two matrix blocks are similar

If two matrices have different characteristic polynomials are they not similar?

Block-diagonalization with unitary similarity transformations: ($A \rightarrow U B U^\dagger $, $B$ block-diagonal)

Theorem 5, Section 7.2 of Hoffman’s Linear Algebra

Exercise 11, Section 7.2 of Hoffman’s Linear Algebra

Exercise 12, Section 7.2 of Hoffman’s Linear Algebra

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