Choose the sequence of elementary row operations that will row reduce the matrix A to its unique reduced echelon form. 1 3 -5 4 1 4 -8 7 3 -7 9. -61 O a. R2=-R1+R2, R3=3R1+R3, R3=-2R2+R3, R1=-3R2+R1 Ob. None of the answers is correct O C. R2=R1+R2, R3=-3R1+R3, R3=-2R2+R, R1=2R2+R1 O d. R2=-R1+R2, R3=3R1+R3, R3=-4R2+R3, R1=-3R2+R1 O . R2 R1+R2, R3=-3R1+R3, R3=-4R2+R, R1%=2R2+R1

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 15EQ: 15. Reverse the elementary row operations used in Example 2.9 to show that we can convert
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Choose the sequence of elementary row operations that will row reduce the matrix A to its
unique reduced echelon form.
1
-5
4
-8
A =
1
4
7
-3
-7
9.
-61
O a. R2=-R1+R2, R3=3R1+R3, R3=-2R2+R3, R1=-3R2+R1
O b.
None of the answers is correct
O C. R2=R1+R2, R3=-3R1+R3, R3=-2R2+R, R1=2R2+R1
O d. R2=-R1+R2, R3=3R1+R3, R3=-4R2+R3, R1=-3R2+R1
O e. R2=R1+R2, R3=-3R1+R3, R3=-4R2+R, R1=2R2+R1
Transcribed Image Text:Choose the sequence of elementary row operations that will row reduce the matrix A to its unique reduced echelon form. 1 -5 4 -8 A = 1 4 7 -3 -7 9. -61 O a. R2=-R1+R2, R3=3R1+R3, R3=-2R2+R3, R1=-3R2+R1 O b. None of the answers is correct O C. R2=R1+R2, R3=-3R1+R3, R3=-2R2+R, R1=2R2+R1 O d. R2=-R1+R2, R3=3R1+R3, R3=-4R2+R3, R1=-3R2+R1 O e. R2=R1+R2, R3=-3R1+R3, R3=-4R2+R, R1=2R2+R1
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