MATH 217 Quiz: MATH217 Quiz 5a 2017 Fall
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Complete all work on this page, including the back, if needed. True or false? (a) t / f if {v1, . , vn} is a basis of v , then there exists a vector w v such that. , vn, w} is also a basis of v . (b) t / f if {v1, . , vn} is a basis of v , and w v , then there exist unique scalars c1, . Let v be the vector space of all even real-valued polynomials p(x) of degree at most 2. Prove that none of the following sets of polynomials is a basis of v .