Week 2: Practice with span, linear combination, and inconsistent systems. ((1) Choose two vectors two in R2 and a third vector I) also in R2, and express 1) as a linear combination of v, w by nding scalars 01,02 such that c1o+c2w = b. Sketch the situation in R2 with an illustration that uses the parallelogram rule. (b) Repeat part (a j with vectors in R3 such that the augmented matrix ['0 w | b] gives a consistent system, again illustrating by graphing but this time in R3. (c) Why is it harder to nd a consistent system for part (5) compared to part (a)? Explain your idea clearly using complete sentences. Warning! PLEASE NOTE: Your submissions for this and future exploration assignments need to contain 1 vectors which are general looking. Choosing vectors which are scalar multiples of [ J , [0], O 1 1 0 0 or 0 , 1 , 0 , or have too many zeros or ones, or are otherwise too simple and miss the 0 0 1 point of the exploration will receive a deduction of points