MATH 515 Midterm: Kansas State MATH 515 515t2s99
7 Mar 2019
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February 24, 1999: de nitions, concepts, and statements of important results, (5) let v be an f-vector space and let v1, v2, . , vk v . (a) what does it mean to say that v1, v2, . , vk are linearly in- dependent? (b) what does it mean to say that v1, v2, . , vk are linearly de- pendent: (5) let v be an f-vector space and let v1, v2, . , vk), the span of the vectors v1, v2, . , vk in v : (5) let v be an f-vector space, let v1, v2, . , vk be linearly in- dependent vectors in v , and assume that v is a vector with v 6 s(v1, v2, . What can you say about the vectors v1, v2, . , vk, v: (5) what does the invariance of dimension theorem say, (5) let a be an m n matrix with coe cients in the eld f.
