Let A = [ ã1 ...ān ] be an k x n-matrix. Here ā1,...,ān e R* are the column-vectors. Let E be an nvertible k × k-matrix, and EA = B, with B=[b.….n ]. Assume the vectors bi, ,...b, give a basis of the column space Col(B). Prove that the vectors ā¡ ,...ā, give a basis of the column space Col(A).

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