List questions from diagonalization

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solving a diagonalization theoretical linear algebra exercise

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Is there a matrix $B$ such that $B^2=A$, with $A$ being diagonalizable?

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Factorization of Normal Operator

Friedberg linear algebra theorem 5.9

If $a$ is an integer, $A=\begin{bmatrix}a+1&2\\-1&a-2\end{bmatrix},\quad P=\begin{bmatrix}1&2\\-1&-1\end{bmatrix},\quad Q=PAP$, Find $P^2$ and $Q$

What is the mistake in my matrix power formula?

How many families of positive definite matrices (not necessarily symmetric) of dimension 2 (up to similarity)?

Prove diagonalizabilty from a polynomial in $T$

How can I find additional cubic roots of a 2x2 matrix?

Relationship between eigenvalues of summation of two matrices one is diagonal

Help with Markov chain involving matrix diagonalisation

Given $RHR^{-1}=D$ where $H$ is Hermitian and $D$ is Diagonal. Show that $R$ is Unitary.

When is diagonalization necessary if finding the steady state vector is easier?

solving a diagonalization theoretical linear algebra exercise

Is there a matrix $B$ such that $B^2=A$, with $A$ being diagonalizable?

Replacing diagonalizable matrices by diagonal matrices

What values of $a$ make matrix $A$ diagonalisable?

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