Question

Finding an invertible matrix without calculating the inverse using eigenvalues

score 389 · Answer 1 · 2020-12-09 11:24:36

389

Views

Finding an invertible matrix without calculating the inverse using eigenvalues

Published on 09 Dec 2020 - 11:24

score 127 · Answer 2 · 2020-12-11 06:14:15

127

Views

Prove that 3 by 3 orthogonal matrix is unitarily similar to certain rotation matrix

Published on 11 Dec 2020 - 6:14

score 311 · Answer 3 · 2020-12-12 16:48:53

311

Views

Describe how to find a basis $\beta$ for $R^n$ and a basis $C$ for $R^m$

Published on 12 Dec 2020 - 16:48

score 157 · Answer 4 · 2020-12-12 22:36:59

157

Views

Finding four square roots of $\small\begin{bmatrix}3 & -4\\4 & 3\end{bmatrix}$

Published on 12 Dec 2020 - 22:36

score 870 · Answer 5 · 2026-04-04 13:32:35

870

Views

$A$ is diagonalizable if the minimal and characteristic polynomial of $A$ are equal.

Published on 04 Apr 2026 - 13:32

score 894 · Answer 6 · 2026-03-26 07:57:09

894

Views

Eigenvectors of block diagonal matrix

Published on 26 Mar 2026 - 7:57

score 82 · Answer 7 · 2020-12-15 00:27:26

82

Views

What are the eigenvalues of $(a_m+a_n)^2$?

Published on 15 Dec 2020 - 0:27

score 43 · Answer 8 · 2020-12-15 05:07:16

43

Views

When can we replace a matrix by its eigenvalues in an integral?

Published on 15 Dec 2020 - 5:07

score 57 · Answer 9 · 2020-12-15 13:01:55

57

Views

$A^{k+1} = A$ for some $k\in \mathbb{N}$, then $A$ is diagonalisable

Published on 15 Dec 2020 - 13:01

score 249 · Answer 10 · 2026-04-03 13:48:48

249

Views

Simultaneous diagonalisation of matrices by diagonalising a random linear combination of these matrices

Published on 03 Apr 2026 - 13:48

score 53 · Answer 11 · 2026-03-25 19:59:04

53

Views

linear transformation, is diagonalizable? all values of a?

Published on 25 Mar 2026 - 19:59

score 28 · Answer 12 · 2020-12-16 20:12:50

28

Views

Does the diagonalization formula of a non-diagonal matrix have any derivation or origin?

Published on 16 Dec 2020 - 20:12

score 1.6k · Answer 13 · 2020-12-17 03:53:14

1.6k

Views

Show that $A = \lambda I_n$ if $\lambda$ is an eigenvalue of $A$ with multiplicity $n$.

Published on 17 Dec 2020 - 3:53

score 78 · Answer 14 · 2026-03-28 20:09:38

78

Views

If $A$ and $B$ are commuting matricies, does the basis of $B$ block diagonalise $A$?

Published on 28 Mar 2026 - 20:09

score 1.1k · Answer 15 · 2020-12-17 16:40:19

1.1k

Views

Given that matrix $A$ is diagonalizable and has eigenvalues of $0$ or $1$, show that $A^2 = A$

Published on 17 Dec 2020 - 16:40

List Question

Finding an invertible matrix without calculating the inverse using eigenvalues

Prove that 3 by 3 orthogonal matrix is unitarily similar to certain rotation matrix

Describe how to find a basis $\beta$ for $R^n$ and a basis $C$ for $R^m$

Finding four square roots of $\small\begin{bmatrix}3 & -4\\4 & 3\end{bmatrix}$

$A$ is diagonalizable if the minimal and characteristic polynomial of $A$ are equal.

Eigenvectors of block diagonal matrix

What are the eigenvalues of $(a_m+a_n)^2$?

When can we replace a matrix by its eigenvalues in an integral?

$A^{k+1} = A$ for some $k\in \mathbb{N}$, then $A$ is diagonalisable

Simultaneous diagonalisation of matrices by diagonalising a random linear combination of these matrices

linear transformation, is diagonalizable? all values of a?

Does the diagonalization formula of a non-diagonal matrix have any derivation or origin?

Show that $A = \lambda I_n$ if $\lambda$ is an eigenvalue of $A$ with multiplicity $n$.

If $A$ and $B$ are commuting matricies, does the basis of $B$ block diagonalise $A$?

Given that matrix $A$ is diagonalizable and has eigenvalues of $0$ or $1$, show that $A^2 = A$

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