(Solved): DIAGONALIZING MATRICES Example 2. Diagonalize the following matrix, if possible 1 3 3 A= -3 -5 -3 3 ...

DIAGONALIZING MATRICES Example 2. Diagonalize the following matrix, if possible 1 3 3 A= -3 -5 -3 3 3 1 = That is, find an invertible matrix P and a diagonal matrix D such that A= PDP-. · Solution: There are four steps to implement the description in Theorem 5. . Step 1. Find the eigenvalues of A. • Here, the characteristic equation turns out to involve a cubic polynomial that can be factored: Pearson Convrinht 2012