Question: QUESTION 5 6 25 a) Let A = 6 0 0 O i) Find all eigenvalues of A. (2 marks) Find the eigenvalues of A6

QUESTION 5 6 25 a) Let A = 6 0 0 O i) Find all eigenvalues of A. (2 marks) Find the eigenvalues of A6 and A-2. (4 marks) iii) Find the basis for the eigenspace corresponding to the smallest eigenvalue of A. (8 marks) b) Show that matrix B = 8 5 4 is diagonalizable. Then, find the corresponding diagonal matrix D when the matrix P = (-1 5) (6 marks)

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