(23) Suppose A is a 4 x 4 matrix with eigenvalue-eigenvector pairs ~₁~)~O~0) () (3, ), (3, ), (5, ), (7, ). (a) Find the
Posted: Thu Jun 30, 2022 7:34 pm
(23) Suppose A is a 4 x 4 matrix with eigenvalue-eigenvector pairs ~₁~)~O~0) () (3, ), (3, ), (5, ), (7, ). (a) Find the algebraic multiplicity of each eigenvalue of A. (b) Find the geometric multiplicity of each eigenvalue of A. Page < 21 > of 23 (c) Determine whether A is diagonalizable. If so, then find a diagonal matrix D and an invertible matrix M such that D = M-¹AM. If not, then explain your reasoning. ZOOM +