Consider the following Gauss-Jordan reduction:31 0-31 210 2 01 0= I0 01110 010 0 1E‚AE,E,AE,E,E, AE,E,E2E¸AFindE1 =E2 =E3E4Write A as a product A = E,'E,'E, 'E,' of elementary matrices:| ||12-31

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Consider the following Gauss-Jordan reduction: 世癌癌垂無 1 1 -3 1 0 0 1 0 -3 1 1 2 0 0 2 1 = I 1 0 0 1 0 0 1 0 0 1 0 1 E A E,E,E, A E,E,E½E¸A Find E = E = Es E. = Write A as a product A = E,'E,'E,'E,' of elementary matrices: 1 2 1 0 -3 = 0 0 1

Consider the following Gauss-Jordan reduction: 世癌癌垂無 1 1 -3 1 0 0 1 0 -3 1 1 2 0 0 2 1 = I 1 0 0 1 0 0 1 0 0 1 0 1 E A E,E,E, A E,E,E½E¸A Find E = E = Es E. = Write A as a product A = E,'E,'E,'E,' of elementary matrices: 1 2 1 0 -3 = 0 0 1

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 9TFE

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Question

Consider the following Gauss-Jordan reduction:
3
1 0
-3
1 2
1
0 2 0
1 0
= I
0 0
1
1
1
0 0
1
0 0 1
E‚A
E,E,A
E,E,E, A
E,E,E2E¸A
Find
E1 =
E2 =
E3
E4
Write A as a product A = E,'E,'E, 'E,' of elementary matrices:
| ||
1
2
-3
1

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