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Assignment2

# Assignment2 - Math 136 Assignment#2 1 Review(a The matrix...

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Math 136 Assignment #2 1. Review (a) The matrix below is already in Echelon Form (EF). Why? (b) Reduce this matrix to Reduced Echelon Form (REF) and describe its general (or sometimes called parametric) solution in terms of its free variables. 7 2 2 - 1 3 6 0 0 4 7 8 1 0 0 0 0 1 - 2 Section 1.3 2. We learned that in R 2 the span of a single vector u = 0 is all vectors y = c u such that c R , so it is a line through the origin. In R 3 what does Span { u , v } look like if (a) u is a linear combination of v ? (b) u and v are not linear combinations of each other? (This is called linear independence.) 3. We are in R 2 and have vectors u = (1 , 7) and v = ( - 2 , 5). (a) Using your choice of notation describe algebraically what Span { u , v } is. (b) Draw what it looks like geometrically in the plane R 2 . Section 1.4 4. You bring your two friends Friend 1 and Friend 2 to the All You Can Eat sushi bar. The prices are as follows: 1 piece eel: 2.00 1 piece salmon: 0.50 1 piece red tuna: 3.00

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