Question: (3) Let for) = (2 t)(t + 5)? (a) Find a matrix A where 40?) 2 f(t) and A is diagonalizable, or explain why this

(3) Let for) = (2 t)(t + 5)? (a) Find a matrix A where 40?) 2 f(t) and A is diagonalizable, or explain why this is not possible. (b) Find a matrix B where PB(t) = f(t) and B is not diagonalizable, or explain why this is not possible. (c) Repeat parts (a) and (b) with the polynomial t) 2 (3 t)(t)(1 t)

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