Define T: P2 → P2 by T(a0 + a1x + a2x2) = (−3a1 + 5a2) +...

Define T: P2 → P2 by T(a0 + a1x + a2x2) = (−3a1 + 5a2) + (−4a0 + 4a1 − 10a2)x + 5a2x2. Find the eigenvalues. (Enter your answers from smallest to largest.) (λ1, λ2, λ3) = −2,5,6 Correct: Your answer is correct. Find the corresponding coordinate eigenvectors of T relative to the standard basis {1, x, x2}. x1 = −5,10,0 Incorrect: Your answer is incorrect. x2 = − 5 2,5,1 Incorrect: Your answer is incorrect. x3 = − 1 2,1,0 Incorrect: Your answer is incorrect.

Expert Solution

Colby Messinger answered 2 years ago

Consider the linear transformation T : P2 ? P2 given by T(p(x)) = p(0) + p(1)...

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