e that A is a matrix with four rows. Find the elementary matrix E such that E A gives the matrix resulting from A hed. Then find E- and give the elementary row operation corresponding to E-. → R1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Assume that A is a matrix with four rows. Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is
performed. Then find E- and give the elementary row operation corresponding to E.
-5R1 = R1
E =
1
E
-1
The elementary row operation corresponding to E¯' is:
A. R3 = R1
B. R3 = R3
C. R1 = R1
-5
-5
D. –5R1 = R1
E. R1 + R3 =→ R1
-5
Transcribed Image Text:Assume that A is a matrix with four rows. Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed. Then find E- and give the elementary row operation corresponding to E. -5R1 = R1 E = 1 E -1 The elementary row operation corresponding to E¯' is: A. R3 = R1 B. R3 = R3 C. R1 = R1 -5 -5 D. –5R1 = R1 E. R1 + R3 =→ R1 -5
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