Don't use chatgpt answer will upvote Already got wrong chatgpt answer . Prove: if [Alb] has solution set S and can be transformed by row operations in to [A'\b'] then [A'\b'] has the same solutions setS.

Thus, [A'|b'] has the same solution set S. [Proved]

Answered: Prove: if [Alb] has solution set S and…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 50EQ

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Prove: if [Alb] has solution set S and can be transformed by row operations in to [A'\b'] then [A'\b'] has the same solutions set S.