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Suppose T1 : R2 R2 is given by T1(x, y) = (x+ 2y, 3xy) and T2 : R2 R2 is given by T2(x, y) =

Suppose T1 : R2 R2 is given by T1(x, y) = (x+ 2y, 3xy) and T2 : R2 R2 is given by T2(x, y) = (y, x+y). Find the standard matrices A1 and A2 for T1 and T2, respectively, and use them to find the standard matrix A for the linear transformation T = T2 T1.

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