Question

Show that the linear transformation $T:V\to V$ defined by $T(B)=ABA^{-1}$ is diagonalizable

score 593 · Answer 1 · 2016-02-27 14:36:05

593

Views

Show that the linear transformation $T:V\to V$ defined by $T(B)=ABA^{-1}$ is diagonalizable

Published on 27 Feb 2016 - 14:36

score 801 · Answer 2 · 2016-03-06 07:13:12

801

Views

$A$ has $n$ distinct eigenvalues and $AB=BA$ with $AC=CA$

Published on 06 Mar 2016 - 7:13

score 108 · Answer 3 · 2026-03-29 17:27:33

108

Views

Why, given an object with rotational symmetry, is the axis of symmetry a principal axis?

Published on 29 Mar 2026 - 17:27

score 1.9k · Answer 4 · 2016-03-08 06:33:49

1.9k

Views

If $A^3=A^2$ then $A^2$ is diagonalizable.

Published on 08 Mar 2016 - 6:33

score 1.4k · Answer 5 · 2016-03-08 20:29:20

1.4k

Views

How to show matrix $A$ diagonalizable iff $A^k$ is diagonalizable for $k\ge 2$?

Published on 08 Mar 2016 - 20:29

score 134 · Answer 6 · 2026-03-30 01:29:57

134

Views

Property of multiplation of a diagonal matrix

Published on 30 Mar 2026 - 1:29

score 2.8k · Answer 7 · 2016-03-09 20:30:56

2.8k

Views

Showing that two matrices are similar by showing they are similar to the same diagonal matrix

Published on 09 Mar 2016 - 20:30

score 334 · Answer 8 · 2016-03-12 14:51:00

334

Views

Matrix $A$ has an eigenvalue with multiplicity $>1$, is $A$ diagonalisable?

Published on 12 Mar 2016 - 14:51

score 346 · Answer 9 · 2026-03-28 05:38:56

346

Views

Numerical diagonalization of a random hermitian matrix $H=U\Lambda U^{-1}$: enforce uniqueness and uniformity of $U$

Published on 28 Mar 2026 - 5:38

score 42 · Answer 10 · 2016-03-12 18:03:49

42

Views

If $A \in \mathbb{R}^{m\times n}$, $m<n$, and $AA^T = I_m$, what are the eigenvalues of $3I_n - A^TA$?

Published on 12 Mar 2016 - 18:03

score 75 · Answer 11 · 2016-03-13 19:21:06

75

Views

How to show $A$ and $A^T$ have same eigenvalues if $A$ is a square matrix?

Published on 13 Mar 2016 - 19:21

score 1.2k · Answer 12 · 2026-03-28 06:40:08

1.2k

Views

Simultaneous Diagonalization of two bilinear forms

Published on 28 Mar 2026 - 6:40

score 826 · Answer 13 · 2026-03-30 13:41:26

826

Views

Eigenvalues of the Sum of a Positive Definite Diagonal Matrix and a Rank $2$ Skew Symmetric Matrix

Published on 30 Mar 2026 - 13:41

score 978 · Answer 14 · 2026-03-26 11:04:28

978

Views

How to use Lagrange polynomials to express the matrix of a linear operator?

Published on 26 Mar 2026 - 11:04

score 88 · Answer 15 · 2026-03-28 06:48:29

88

Views

Is the converse to this theorem true?

Published on 28 Mar 2026 - 6:48

List Question

Show that the linear transformation $T:V\to V$ defined by $T(B)=ABA^{-1}$ is diagonalizable

$A$ has $n$ distinct eigenvalues and $AB=BA$ with $AC=CA$

Why, given an object with rotational symmetry, is the axis of symmetry a principal axis?

If $A^3=A^2$ then $A^2$ is diagonalizable.

How to show matrix $A$ diagonalizable iff $A^k$ is diagonalizable for $k\ge 2$?

Property of multiplation of a diagonal matrix

Showing that two matrices are similar by showing they are similar to the same diagonal matrix

Matrix $A$ has an eigenvalue with multiplicity $>1$, is $A$ diagonalisable?

Numerical diagonalization of a random hermitian matrix $H=U\Lambda U^{-1}$: enforce uniqueness and uniformity of $U$

If $A \in \mathbb{R}^{m\times n}$, $m<n$, and $AA^T = I_m$, what are the eigenvalues of $3I_n - A^TA$?

How to show $A$ and $A^T$ have same eigenvalues if $A$ is a square matrix?

Simultaneous Diagonalization of two bilinear forms

Eigenvalues of the Sum of a Positive Definite Diagonal Matrix and a Rank $2$ Skew Symmetric Matrix

How to use Lagrange polynomials to express the matrix of a linear operator?

Is the converse to this theorem true?

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