(5 points) The matrix 1 1 -4 -1 -2 -1 A = -3 -1 -1 -1...

 

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(5 points) The matrix 1 1 -4 -1 -2 -1 A = -3 -1 -1 -1 -1 -2 has two distinct real eigenvalues A1 < A2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue 2i is and a basis for its associated eigenspace is The larger eigenvalue dz is and a basis for its associated eigenspace is 4. (5 points) The matrix 1 1 -4 -1 -2 -1 A = -3 -1 -1 -1 -1 -2 has two distinct real eigenvalues A1 < A2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue 2i is and a basis for its associated eigenspace is The larger eigenvalue dz is and a basis for its associated eigenspace is 4.