List questions from similar-matrices

Published on 25 Mar 2026 - 17:36

249

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

Published on 25 Mar 2026 - 15:59

23

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

Published on 25 Mar 2026 - 19:10

38

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

Published on 25 Mar 2026 - 14:24

104

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 25 Mar 2026 - 12:50

53

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

Published on 25 Mar 2026 - 14:24

31

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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 25 Mar 2026 - 12:49

45

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Similar matrices and their column space

Published on 25 Mar 2026 - 12:55

68

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matrix similarity over a field shows matrix similarity over subfield

Published on 25 Mar 2026 - 12:54

126

Views

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

Published on 25 Mar 2026 - 14:23

52

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Ambiguity in similarity definition

Published on 25 Mar 2026 - 12:48

60

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How are two matrices similar?

Published on 25 Mar 2026 - 14:20

33

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Similar matrix whose square is a Hessenberg matrix

Published on 25 Mar 2026 - 14:19

69

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Does similar matrices have same column space or row space

Published on 25 Mar 2026 - 14:19

93

Views

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

Published on 25 Mar 2026 - 12:52

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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