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Define T: P2 P2 by T(a + ax + a2x)=(-3a + 5a2) + (-4a0 + 4a1 - 10a2)x + 582x. Find the eigenvalues. (Enter

Define T: P2 P2 by T(a + ax + a2x)=(-3a + 5a2) + (-4a0 + 4a1 - 10a2)x + 582x. Find the eigenvalues. (Enter your answers from smallest to largest.) (A1, A2, A3) -2,4,6 X Find the corresponding coordinate eigenvectors of T relative to the standard basis (1, x, x). x2 *3

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