Question: Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. A ^= [1 -2] (a) Find the eigenvalues

Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. A ^= [1 -2]

Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. A ^= [1 -2] (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (2, 2) = (b) Find a basis for each of the corresponding eigenspaces. {[ B1 = B (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' =

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