Can anybody explain how to orthogonally diagonalize the following matrix:
$$ \begin{pmatrix} 9 & \sqrt10 \\ \sqrt10 & 0 \\ \end{pmatrix} $$
Am I correct in saying the eigenvalues are 10 and -1 and the corresponding eigenvectors are [1,1/sqrt(10)] and [1,-sqrt(10)]
You can diagonalize as: $$\pmatrix{-1 & 0 \\ 0 & 10}$$