Question

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Let T: R2[x] → R2[x] given by T(a + bx + cx?) = (-2a + b) + (-2a+b-c)x+(-a+b - 2c)x2 Find: 1. II. The characteristic polynomial of T The eigenvalues of T A base and the dimension of the eigenspaces associated with each eigenvalue of T The algebraic and geometric multiplicities of the eigenvalues of T The minimum polynomial of T IV. ine 25 V.

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