3. In R³, consider v₁ = (1,0, -1), V₂ = (1, 0,2), V3 = (0, 1, 1), №₁ = (1, −1, 1). (a) Show that any vector (x, y, z) = R³ can be expressed as a linear combi- nation of the vectors V₁, V2, V3. (b) Find another triplet of the vectors such that the same is no longer achiev- able

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Step 1: Determine the required linear combination

Step 2: Determine which triple can not express (x,y,z)

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