Question: please explain #1 1. (a) Let T : P1 - Pi be given by T(p) = (2x + 1)p(0) + p'(x). Find a matrix for

please explain #1

1. (a) Let T : P1 - Pi be given by T(p) = (2x + 1)p(0) + p'(x). Find a matrix for T. Then find the eigenvalues of T and a basis of eigenvectors, B. Finally find [7x + 4]B and use this to find 7*(7x + 4). (Do not take T eight times.) (b) Let A = Diagonalize A. Then use this to find A4. (Do not multiply A NO by itself several times...)

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