Let T be a linear transformation from R³ to R² defined by T(x, y, z) = (2x + y + z, x − y − z) (*) a) Find the matrix of T with respect to the bases B₁ = {(1,-1, 1), (1, 2, -3), (-2, 1, -1)} and B₂ = {(1, -2), (1,-1)}. b) Use the matrix found in part a) to find T(v), where (v) B₁ = (2, 1, 1) hence v = (1, 1, -2). Compare this with the result you obtain by using formula (*).

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