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List Question

How can I show that $A=\begin{pmatrix}a&b\\b&d\end{pmatrix}$ with $b\neq 0$ is diagonalizable?

Proving a matrix has a square root

Geometric multiplicity of eigenvalues in a diagonal block matrix

Is there more than one way to diagonlize a matrix without using eigenvalue decomposition?

Lower bound of minimum eigenvalue of positive definite matrix using the smallest off-diagonal element and largest diagonal element

Intuition on spectral theorem

why this operator $T$ is always diagonalizable?

How to rewrite $R^TAR = V$ to find $A$

Given $T\in \mathcal{L}(V)$ which has $n$ eigenvalues in $K$. Show that if there is a $k\in \mathbb{N}$ with $T^{k+1}=T$ then T is diagonalizable.

Diagonalizability of an operator

Show that the restriction is diagonalizable

prove the spectral theorem for commutative operators with guidance

prove Spectral theorem

For what values of $k$ is the following matrix diagonalizable?

Simple exercise on a linear operator $T$

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