Suppose that the augmented matrix of a system .Ax = 6 is transformed into a matrix
Chapter 3, Problem 3(choose chapter or problem)
Suppose that the augmented matrix of a system .Ax = 6 is transformed into a matrix (A'\b') in reduced row echelon form by a finite sequence of elementary row operations. (a) Prove that vank(A') ^ rank(,4/ |6/ ) if and only if (^4'|6') contains a row in which the only nonzero entry lies in the last column. (b) Deduce that Ax = 6 is consistent if and only if (^4'|6') contains no row in which the only nonzero entry lies in the last column.
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