List questions from diagonalization

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Finding a Jordan canonical form $J$ and an invertible matrix $Q$ such that $J = Q^{-1}AQ$

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Matrix Decomposition with restriction on eigenvalues

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If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable

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What is the correct (matrix) square-root of $A_2=\begin{bmatrix} 0&-1 \\ 1& 2 \end{bmatrix} $?

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Are idempotent matrices always diagonalizable?

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Diagonalization of circulant matrices

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List Question

How to diagonalize a matrix

Conjecture about some group semiring representations ( and roots of unity ).

Finding a Jordan canonical form $J$ and an invertible matrix $Q$ such that $J = Q^{-1}AQ$

Matrix Decomposition with restriction on eigenvalues

How to prove that $A$ and $B$ are simultaneously diagonalizable

Prove that if $A$ has distinct nonzero eigenvalues then $A^2$ has positive eigenvalues

Matrix and eigenvectors

Need help understanding why this procedure works: Procedure for diagonalizing a square matrix

Eigenvalue decomposition of $D \, A \, D$ with $A$ symmetric and $D$ diagonal

If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable

Diagonalization of linear operators

Finding a 2x2 Matrix raised to the power of 1000

What is the correct (matrix) square-root of $A_2=\begin{bmatrix} 0&-1 \\ 1& 2 \end{bmatrix} $?

Are idempotent matrices always diagonalizable?

Diagonalization of circulant matrices

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