B₁ = {V₁, V2, V3} and B₂ = {w₁, W2, W3} be ordered bases of R³. The change of basis matrix from Co B₁ is [213] P = 0 1 2 [103] Write w₁ - w₂ + 2w3 as a linear combination of V1, V2, V3. Determine P-1 using elementary row operations. Suppose f: R³ R³ is the linear transformation such that f(v1) = 2v1 + v3, f(v₂) = v2 +2v3, f(v3) = v1 + 2v2. Find the matrix representation A off with respect to B₁.

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