Let T : P, → P2 be the linear transformation such that T(1) = 4 + 2.x + x², T(x) = 3x, T(x²) = 1 + 2x + 4.x² 1. Find the matrix representation A of T relative to the standard basis {1, x, x²} 2. Find the eigenvalues and corresponding eigenspaces of A.

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