Let T be a linear transformation from R2 to R2 defined by T(x, y) = (2x...

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Let T be a linear transformation from R2 to R2 defined by T(x, y) = (2x - y, x + y). a) Find the matrix of T with respect to the bases B₁ = {(1, 1), (2,1)} and B₂ = {(-1,2), (1,1)}. (4 marks) (4 marks) b) Use the matrix found in part a) to find T(v), where v = (2, 3). Let T be a linear transformation from R2 to R2 defined by T(x, y) = (2x - y, x + y). a) Find the matrix of T with respect to the bases B₁ = {(1, 1), (2,1)} and B₂ = {(-1,2), (1,1)}. (4 marks) (4 marks) b) Use the matrix found in part a) to find T(v), where v = (2, 3).