For each given matrix A, find a matrix P such that P'1AP is diagonal. 0'\" = [.62 13] (it) A = L63 12] (in) [21 :2 E] 2 Lo O_ - A 4 O NI- (2] The eigenvectors (-2, 1) and (1, 2) form an orthogonal basis for R2. Normalize these eigenvectors to produce an orthonormal basis. - 2, 1) (1, 2) PI P2 |1 (1, 2)11 3. Each eigenvalue has a multiplicity of 1, so go directly to step 4. 4. Using p, and P2 as column vectors, construct the matrix P. P Verify that P orthogonally diagonalizes A by finding P-'AP = PTAP. IN PTAP = = o NO