Are T: P2(R)-P(R) the linear operator defined by T (p(x)) = p(x) + p'(x) and the...

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Are T: P2(R)-P₂(R) the linear operator defined by T (p(x)) = p(x) + p'(x) and the bases B = {1, x, x²} y B' {1,1+2, 1-²} of P2 (R). [T]B. a) Determine b) Calculate the matrix P of change from base B to B'. c) Determine B d) Prove that [7] = P-1 [T] P. B' B Are T: P2(R)-P₂(R) the linear operator defined by T (p(x)) = p(x) + p'(x) and the bases B = {1, x, x²} y B' {1,1+2, 1-²} of P2 (R). [T]B. a) Determine b) Calculate the matrix P of change from base B to B'. c) Determine B d) Prove that [7] = P-1 [T] P. B' B

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a TB 3x3 3x3 3x3 b P 1x 12x 2x2 2x2 2x2 2x... View the full answer