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25-05-2023
Mathematics

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Let T₁: P₁ P₂ be the linear transformation defined by Ti (cocx) = 2co - 3c₁x and let T₂: P2 P3 be the linear transformation defined by T2(co+c+cx) = 3cor + 3cx? +3cx3 Let B = {1, x}, B = {1, x, x²), and B' = {1, x, x², x³}. (a) Find [T₂ o T₁]B.B. [1₂]B¹B", and [T₁]B".B- (b) State a formula relating the matrices in part (a).

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