- 23 Suppose A Is A 4 X 4 Matrix With Eigenvalue Eigenvector Pairs O 0 3 3 5 7 A Find The 1 (60.04 KiB) Viewed 43 times
(23) Suppose A is a 4 x 4 matrix with eigenvalue-eigenvector pairs ~₁~)~O~0) () (3, ), (3, ), (5, ), (7, ). (a) Find the
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(23) Suppose A is a 4 x 4 matrix with eigenvalue-eigenvector pairs ~₁~)~O~0) () (3, ), (3, ), (5, ), (7, ). (a) Find the
(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 +