Question: 1 -3-27 -1 1 -1 Find the canonical Jordan decomposition of A, 2 4 5 i.e. find the canonical Jordan matrix J and invertible

1 -3-27 -1 1 -1 Find the canonical Jordan decomposition of A, 2 4 5 i.e. find the canonical Jordan matrix J and invertible matrix Q such that A = QJQ . b. Let J = Let A -2 0 0 0 0 100 0 -20 0 0 0 0 0 0 0 0-1 1 0 00 -1 i. (3 points). List the eigenvalues of the matrix. ii. (3 points). State the algebraic multiplicity of cach eigenvalue. iii. (3 points). State the geometric multiplicity of each eigenvalue.

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