Consider the linear transformation T: R → R" 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.) (21, 2₂) = (b) Find a basis for each of the corresponding eigenspaces. B₁ 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'=

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