3 -3 2 B = 5 1 3 2 -2 -1 e. The elementary matrix E, multiplies the second row of B by 1/6. EEE E, ,E,

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 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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3
-3
В -
1
3
2 -2 -1
e. The elementary matrix Eg multiplies the second row of B by 1/6.
Eis
Es
f. The elementary matrix Eg multiplies the third row of B by -4.
1.
Es
g. The elementary matrix E, switches the first and third rows of B.
3
E,' =
E
h. The elementary matrix Eg adds 3 times the third row of B to the second row of B.
Es
2.
Transcribed Image Text:3 -3 В - 1 3 2 -2 -1 e. The elementary matrix Eg multiplies the second row of B by 1/6. Eis Es f. The elementary matrix Eg multiplies the third row of B by -4. 1. Es g. The elementary matrix E, switches the first and third rows of B. 3 E,' = E h. The elementary matrix Eg adds 3 times the third row of B to the second row of B. Es 2.
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