Question:

The characteristic polynomial of the matrix A=[5 -2 -4

Last updated: 7/31/2022

The characteristic polynomial of the matrix A=[5 -2 -4

The characteristic polynomial of the matrix A=[5 -2 -4 -2 8 -2 -4 -2 5] is λ(λ-9)². The vector [2 1 2] is an eigenvector of A. Find an orthogonal matrix P that diagonalizes A. and verify that P-¹AP is diagonal.