9. Let T: P2 → P3 be T(p) = xp(x). Write the matrix of T with respect to the bases B₁ = {1, x, x²} for P₂ and {1, (x + 1), (x + 1)², (x + 1)³} for P3. 10. With respect to B₁ defined in Q9, let B3 = {2, x — B3 1,1-x²). Calculate [Id] and the inverse of this last matrix without doing any matrix inversion. question 10 plz

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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9. Let T: P2 → P3 be T(p) = xp(x). Write the matrix of T with respect to the bases B₁ = {1, x, x²} for P₂ and {1, (x + 1), (x + 1)², (x + 1)³} for P3. 10. With respect to B₁ defined in Q9, let B3 = {2, x — B3 1,1-x²). Calculate [Id] and the inverse of this last matrix without doing any matrix inversion.

question 10 plz

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