Q1. Let T: R R be T(x1, x2) = (x1 + x2, 3x2 x1). Compute the...

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Q1. Let T: R R be T(x1, x2) = (x1 + x2, 3x2 x1). Compute the matrix representation [T] for each of the following bases. (a) a = {e1, e2}, (b) a = {(1, 1), (0,1)}, (c) = (d) a = {(1, B = {e1, e2} = {e1, e2} 1), (0,1)}, B = {(1, 1), (0, 1)} = {(1, 1), (0, 1)} {e1, e2}, Q1. Let T: R R be T(x1, x2) = (x1 + x2, 3x2 x1). Compute the matrix representation [T] for each of the following bases. (a) a = {e1, e2}, (b) a = {(1, 1), (0,1)}, (c) = (d) a = {(1, B = {e1, e2} = {e1, e2} 1), (0,1)}, B = {(1, 1), (0, 1)} = {(1, 1), (0, 1)} {e1, e2},