Solved: Let S = [v ,. V2 .. vn) be a set of II vectors in R" and let A be the matrix

Chapter 4, Problem 37

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Let S = [v ,. V2 .. vn) be a set of II vectors in R" and let A be the matrix whose jth row is v j_ Show that 5 is linearly independent if and only if rank A = /I.

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