Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. A-[3] A= (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (A₁, A₂) 4,5 (4,5 (b) Find a basis for each of the corresponding eigenspaces. B₁ 1,2 B₂- (c) Find the matrix A' for T relative to the basis B', where B' is made up of the basis vectors found in part (b). A'= X 5 1,1 5 1 2 1

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