LetS = {u ,. uz ..... Ut } be a noncmpty sub>ct of R. and

Chapter , Problem 95

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LetS = {u ,. uz ..... Ut } be a noncmpty sub>ct of R. and A be an m x 11 matrix. Prove that if S i~ linearly dependent and S' = {Au 1.Au2, Auk} contains k distinct vectors. then S' is linearly dependent.

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