List questions from similar-matrices

Published on 14 Jul 2023 - 9:36

248

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What are the differences between a "dissimilarity matrix" and a "distance matrix"?

Published on 09 Aug 2023 - 11:12

22

Views

Simultaneous similarity of pairs of $2\times2$-matrices over algebraically closed fields

Published on 10 Aug 2023 - 11:35

37

Views

Similarties and Preserving the characteristic polynomial and rank of a nilpotent matrix

Published on 11 Aug 2023 - 14:40

103

Views

Prove that A $\in M_3(\mathbb{R})$ is similar to $\begin{bmatrix} \cos(x) & -\sin(x) & 0 \\ \sin(x) & \cos(x) & 0 \\ 0 & 0 & \epsilon \end{bmatrix}$

Published on 14 Aug 2023 - 11:57

52

Views

Proving $A$ similar to $B$, unable to find a valid $P$.

Published on 31 Aug 2023 - 14:39

30

Views

If $A,B$ are $n\times n$ complex matrices with $A^2=A, B^2=B$, then show that $A$ and $B$ are similar if and only if they are equivalent

Published on 28 Oct 2023 - 19:23

44

Views

Similar matrices and their column space

Published on 01 Nov 2023 - 8:15

67

Views

matrix similarity over a field shows matrix similarity over subfield

Published on 17 Nov 2023 - 11:53

125

Views

"Simple" proof that an n x n matrix is similar to its transpose

Published on 25 Nov 2023 - 23:36

51

Views

Ambiguity in similarity definition

Published on 28 Nov 2023 - 22:27

59

Views

How are two matrices similar?

Published on 04 Dec 2023 - 1:45

32

Views

Similar matrix whose square is a Hessenberg matrix

Published on 08 Dec 2023 - 20:31

68

Views

Does similar matrices have same column space or row space

Published on 17 Dec 2023 - 4:40

92

Views

If $A$ and $B$ have the same eigenvalues...

Published on 19 Dec 2023 - 0:25

List Question

Show that two matrices are similar when matrix is not diagonalizable

What are the differences between a "dissimilarity matrix" and a "distance matrix"?

Simultaneous similarity of pairs of $2\times2$-matrices over algebraically closed fields

Similarties and Preserving the characteristic polynomial and rank of a nilpotent matrix

Prove that A $\in M_3(\mathbb{R})$ is similar to $\begin{bmatrix} \cos(x) & -\sin(x) & 0 \\ \sin(x) & \cos(x) & 0 \\ 0 & 0 & \epsilon \end{bmatrix}$

Proving $A$ similar to $B$, unable to find a valid $P$.

If $A,B$ are $n\times n$ complex matrices with $A^2=A, B^2=B$, then show that $A$ and $B$ are similar if and only if they are equivalent

Similar matrices and their column space

matrix similarity over a field shows matrix similarity over subfield

"Simple" proof that an n x n matrix is similar to its transpose

Ambiguity in similarity definition

How are two matrices similar?

Similar matrix whose square is a Hessenberg matrix

Does similar matrices have same column space or row space

If $A$ and $B$ have the same eigenvalues...

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