List questions from diagonalization

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Can these two matrices be represented as diagonal matrices with respect to an orthonormal basis?

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$A$ matrix is diagonalisable if $\exists S : S^{-1}AS $ is a diagonal matrix, how can I find S?

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Prove that if $B=P^{-1}AP$, then $q(B)=P^{-1}q(A)P$

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Find an orthonormal basis of a particular bilinear form

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if A diagonalizable then show that $a=0$

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If HP=PH+P for H,P n×n complex matrices, must H be diagonalizable?

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Diagonalizable A, computing fast.

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Show that $f$ is diagonalizable

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List Question

Let $A\in M_{n*n}(\mathbb C)$ then there exists $B$ such that $B^2=A.$

Can these two matrices be represented as diagonal matrices with respect to an orthonormal basis?

$A$ matrix is diagonalisable if $\exists S : S^{-1}AS $ is a diagonal matrix, how can I find S?

Prove that if $B=P^{-1}AP$, then $q(B)=P^{-1}q(A)P$

Homework help: What is a diagonal matrix?

Eigenvectors of this matrix - what's the relation to rotation operator?

Find an orthonormal basis of a particular bilinear form

Linear Algebra - Diagonalizable matrix

if A diagonalizable then show that $a=0$

Minimal polynomial and diagonalization of a block diagonal matrix.

Diagonalisability with $\lambda = 2,x$

If HP=PH+P for H,P n×n complex matrices, must H be diagonalizable?

Diagonalizable A, computing fast.

Hermitian Matrix Unitarily Diagonalizable

Show that $f$ is diagonalizable

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