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Homework answers / question archive / a) Let F: R2 - R2 be defined by, F(x, y) = (4x + 5y, 2x - y) i) Find matrix A by using usual basis

a) Let F: R2 - R2 be defined by, F(x, y) = (4x + 5y, 2x - y) i) Find matrix A by using usual basis. ii) Find the matrix

B by using the basis S = {(1, 4), (2,9)]. iii) Find P such that B = P-1AP. iv) For v = (a, b), find [v]s-