Question: 8. Consider the linear transformation T : P2(R) + M2(R) defined by T(do + alx + a2x2) = ao + 202 ao - 3a1 3ao

8. Consider the linear transformation T : P2(R) + M2(R) defined by T(do + alx + a2x2) = ao + 202 ao - 3a1 3ao - 901 4ao + 802 Find the matrix for T, [T], where B = (1, x,x2} c=18 8 8 : 8 89} are the standard bases for P2 (R) and M2(R) respectively. Find bases for ker (T) and Range(T). Is T one-to-one, onto, neither, or both? 9. Consider the linear transformations T : R2 -> R2 and S : R2 -> R2 defined by Find - and S-. Using your answers, write a formula for (TS)-1

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