Question: A 3 x 3 matrix A satisfies 1 A 00 8-8-8-8 and A 1 0 A = (-2) = (-2) 1 0 (a) Show

A 3 x 3 matrix A satisfies 1 A 0-0 8-8-8-8 and A 1 0 A = (-2) (-2) 1 0 (a) Show that A is invertible. Write

A 3 x 3 matrix A satisfies 1 A 00 8-8-8-8 and A 1 0 A = (-2) = (-2) 1 0 (a) Show that A is invertible. Write the characteristic polynomial of A. (b) Is A diagonalizable? If so, determine an invertible matrix P and a diagonal matrix D such that P-AP = D.( (c) Determine the eigenvalues and the eigenvectors of the matrix A-. (

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