5. Answer the following questions. (a) Using elementary row operations, we go from Ax = b to Rx = d, where R is the RREF of A. The complete solution is x = |0+r +s Here, r and s are free parameters. What is the 3 x 3 matrix R in the reduced row echelon form and what is d? (b) In part (a), if the process of Gauss-Jordan elimination to get from A to R subtracted 3 times row 1 from row 2 and then 5 times row 1 from row 3, what are the original matrix A and vector b?

5. Answer the following questions. (a) Using elementary row operations, we go from Ax = b to Rx = d, where R is the RREF of A. The complete solution is x = |0+r +s Here, r and s are free parameters. What is the 3 x 3 matrix R in the reduced row echelon form and what is d? (b) In part (a), if the process of Gauss-Jordan elimination to get from A to R subtracted 3 times row 1 from row 2 and then 5 times row 1 from row 3, what are the original matrix A and vector b?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 3BEXP

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