MATH 1553 Quiz: MATH 1553 GT Quiz 3 1 3 Solutionsm1553
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Math 1553 quiz 3: 1. 3 (10 points, 10 minutes) Show your work and justify answers where appropriate. If you write the correct answer without suf cient work or justi cation, you will receive little or no credit. 1. (6 points) find all values of h (if there are any) so that 1 linear combination of 1. 2 h can be written as a. 4 following augmented system, which we row-reduce to solve for h. The system is consistent precisely when the rightmost column is not a pivot column. The rightmost column fails to be a pivot column when h + 1 = 0, so h = 1 . (for example, 1 1. 2. (4 points) give an example of nonzero vectors u, v, and w in r2 so that u is in. Span{v, w} but v is not in span{u, w}. You can do this problem without messy algebra)
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