# Diagonalize Matrix Calculator

The calculator will diagonalize the given matrix, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

The matrices $$P$$$and $$D$$$ are such that the initial matrix $$\left[\begin{array}{ccc}1 & 1 & 3\\1 & 5 & 1\\3 & 1 & 1\end{array}\right] = P D P^{-1}$$$. ## Answer $$P = \left[\begin{array}{ccc}1 & 1 & -1\\2 & -1 & 0\\1 & 1 & 1\end{array}\right]$$$A
$$D = \left[\begin{array}{ccc}6 & 0 & 0\\0 & 3 & 0\\0 & 0 & -2\end{array}\right]$$\$A