a) Find eigenvalues to the matrix A = 3-6 b) Find all eigenvectors to matrix A, with following eigenvalues. c) Matrix A gives a linear transformation T: R² → R² where T (x) = Ax. Let b₁ and b₂ be two eigenvectors for A so that B = {b₁, b₂} is basis for A. what is the matrix of T in this basis?

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