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List Question

Determine all real numbers that can be eigenvalues of operator A.

Prove that all normal matrices are semi-simple using Schur's decomposition

Simultaneous diagonalisation of quadratic forms

Find invertible matrix $Q$

Prove diagonalizability of operator $T$

Faster way to calculate the inverse of matrice $C $(when diagonisable.. $C-1AC = D$)

Diagonalizable matricies and eigenvalues

True or False, diagonalization problem

Simultaneous Diagonalisation

If A is anti-hermitian, show that $|\det(1+A)|^2 \geqslant 1$

Find a matrix $P$ that diagonalizes the matrix $A$, and determine $P^{-1}AP$

Spectral decomposition of an operator

Example of diagonalisable matrix with given property

Let $A= \begin{pmatrix} 8&2 \\ -8&-2 \end{pmatrix}$. Find the entry in the first row and second column of $A^{2014}$

Symmetric matrix with n rows has n linearly independent eigenvectors?

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