Must a square root of a diagonal matrix with distinct eigenvalues be diagonal?
123803
If $X^n$ is a diagonal matrix with distinct eigenvalues, then is $X$ also a diagonal matrix with distinct eigenvalues?
76477
Eigenvalues with transpose question.
75690
Does the given matrix have a square root?
10014
Is there a built-in procedure for simultaneous diagonalization of a set of commuting matrices?
90576
Symmetric matrix eigenvalues
149916
Minimum eigenvalue and singular value of a square matrix
6960
Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal
29788
Eigenvalues of a matrix whose square equals its transpose
9220
If $\lambda$ is an eigenvalue of $A^2$, then either $\sqrt{\lambda}$ or $-\sqrt{\lambda}$ is an eigenvalue of $A$
6514
Prove $T$ has at most two distinct eigenvalues
149981
Find the eigenvalues and eigenvectors with zeroes on the diagonal and ones everywhere else.
64747
If $A^m=I$ then A is Diagonalizable
150619
Why do we need a diagonal matrix?
150376
Does Real Eigenvalues mean it is an hermitian Matrix
64395
If $v_1,...,v_r$ are eigenvectors that correspond to distinct eigenvalues, then they are linearly independent.
52260
Diagonalization and eigenvalues
96811
How to find the eigenvalues of a block-diagonal matrix?