4 -3 Diagonalize the matrix following the steps below. Just fill in the answer for each...

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4 -3 Diagonalize the matrix following the steps below. Just fill in the answer for each step, none partial credit for wrong or incomplete answers. Double check each step before moving on! (1) The eigenvalues of A are: 1 = (2) Find two linearly independent eigenvectors corresponding to the eigenvalues above: V = (Use integer entries if possible) (3) Find an invertible matrix P and a diagonal matrix D such that A= PDP { } P= D= (4) Verify you results (must show the work). I ]H } m-[ I H } AP = PD = (5) Is B = 31– 2iA+ A² (i=v-1) diagonalizable? (The diagonal entries could be real or complex.) Chose one to complete. No partial credit. Yes. P BP = D , where P= and D= No. A brief reason: 4 -3 Diagonalize the matrix following the steps below. Just fill in the answer for each step, none partial credit for wrong or incomplete answers. Double check each step before moving on! (1) The eigenvalues of A are: 1 = (2) Find two linearly independent eigenvectors corresponding to the eigenvalues above: V = (Use integer entries if possible) (3) Find an invertible matrix P and a diagonal matrix D such that A= PDP { } P= D= (4) Verify you results (must show the work). I ]H } m-[ I H } AP = PD = (5) Is B = 31– 2iA+ A² (i=v-1) diagonalizable? (The diagonal entries could be real or complex.) Chose one to complete. No partial credit. Yes. P BP = D , where P= and D= No. A brief reason: