Let A be an " x n invenible matrix, and let CJ be the jth

Chapter , Problem 84

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Let A be an " x n invenible matrix, and let CJ be the jth standard vector of 'R". (a) Prove that the j th column of A 1 is a solution of Ax = e 1. (b) Why does the result in (a) imply that ;\ 1 is unique? (c) Why doe.- the rCMih in (:~) imply th:tt r:mk A = 11?

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