1. Consider the linear system x+y=6 3x - y = 2 (a) Express this linear system as a vector equation x₁ + x₂v = b for appropriately chosen vectors u, v, and b. (b) Express this linear system in matrix form Ax = b for appropriately chosen A, x, and b. (c) Solve this linear system geometrically by sketching out the lines determined by each linear equation. Use the example from lecture as reference. (d) Solve the linear system in terms of linear combinations of vectors in R2. Use the example from lecture as reference.

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