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  3. define t: p2 ? p2 by t(a0 + a1x + a2x2) = (?3a1 +

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

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Advance Math

Define T: P2 ? P2 by T(a0 + a1x + a2x2) = (?3a1 + 5a2) + (?4a0 +4a1 ? 10a2)x + 5a2x2. Find the eigenvalues. (Enter your answersfrom smallest to largest.) (?1, ?2, ?3) = ?2,5,6 Correct: Youranswer is correct. Find the corresponding coordinate eigenvectorsof T relative to the standard basis {1, x, x2}. x1 = ?5,10,0Incorrect: Your answer is incorrect. x2 = ? 5 2?,5,1 Incorrect:Your answer is incorrect. x3 = ? 1 2?,1,0 Incorrect: Your answer isincorrect.

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