Let 8 be a basis for R", (u 1, 112, .. . , uk} be a subset

Chapter , Problem 108

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Let 8 be a basis for R", (u 1, 112, .. . , uk} be a subset of R", and v be a vector in R". Prove that ' ' is a linear combi nation of (u ,. 112 ..... Ut} if and only if [vlts is a linear combination of ([u dlJ.[U2)6 ..... [utltsl

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