Let T be a linear operator on R³ defined by T(x, y, z) = (3x-z, 3y + 2z, x + y + z) and B = {V₁, V2, V3} be a basis of R³ in which v₁ = (1, 0, 1), v₂ = (0, 1, 2) and v3 = (1, 1,0). 5.1. Find the coordinate vector [v] of v where v = (a, b, c) is any vector in R³. 5.2. Use the result in (5.1) to find the coordinate vector of the vector v = (1, 2, -1) with respect to the basis B.

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