This problem deals with the reversibility of elementary

Chapter 3, Problem 29P

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QUESTION:

This problem deals with the reversibility of elementary row operations.(a) If the elementary row operation cRp changes the matrix A to the matrix B, show that (1/c)/Rpchanges B to A.________________(b) If SWAP(Rp, Rq) changes A to B, show that SWAP(Rp, Rq) also changes B to A.________________(c) If cRp + Rq changes A to B, show that (–c) Rp + Rq changes B to A.________________(d) Conclude that if A can be transformed into B by a finite sequence of elementary row operations, then B can similarly be transformed into A.

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QUESTION:

This problem deals with the reversibility of elementary row operations.(a) If the elementary row operation cRp changes the matrix A to the matrix B, show that (1/c)/Rpchanges B to A.________________(b) If SWAP(Rp, Rq) changes A to B, show that SWAP(Rp, Rq) also changes B to A.________________(c) If cRp + Rq changes A to B, show that (–c) Rp + Rq changes B to A.________________(d) Conclude that if A can be transformed into B by a finite sequence of elementary row operations, then B can similarly be transformed into A.

ANSWER:

SolutionStep 1 of 5In this problem, we have to deal with the reversibility of elementary row operation.

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