Consider the following Gauss-Jordan reduction: 8. 2 -24 -12 - 4 -12 0 = I 1. -3 0. -3 0. 0. 0 0 1. 0 0 1 E A E, E, A E, E, E A E, E, E, E, A Find E, = E2 = E = E =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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Consider the following Gauss/Jordan reaction:

 

Consider the following Gauss-Jordan reduction:
0 0
1
-3
0.
-3
0 10= I
0 0 1
8 2
-24 -
-12 |-
4
1
-12
-3
1 0
-3
0.
1
0 0
E A
E, E A
E, E, E A
E E, E, E, A
Find
0.
E, =
E2 =
, Ez =
E, =
Write A as a product A = E,'E,' E, E, of elementary matrices:
%3D
1
8 2 -24
1 0
-3
Transcribed Image Text:Consider the following Gauss-Jordan reduction: 0 0 1 -3 0. -3 0 10= I 0 0 1 8 2 -24 - -12 |- 4 1 -12 -3 1 0 -3 0. 1 0 0 E A E, E A E, E, E A E E, E, E, A Find 0. E, = E2 = , Ez = E, = Write A as a product A = E,'E,' E, E, of elementary matrices: %3D 1 8 2 -24 1 0 -3
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