3x2 + 2x3 = 1 X2 + 4x3 = 9 3x1 2x1 4x2 + 2x3 = 8 Suppose after using a calculator to put the augmented matrix in reduced echelon form and the calculator gives you the following result: [107/3 0 1 00 0 Give the solution to the above system or state that no solution exist. x1 + ܗ

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 22E
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=
X1
+ 3x₂ + 2x3
=
9
3x1
x2
4x2
+ 4x3
+ 2x3
=
8
2x1
Suppose after using a calculator to put the augmented matrix in reduced echelon form and the calculator gives you the
following result:
14
1 03/10 5
01/3
5
00 0 0
Give the solution to the above system or state that no solution exist.
Transcribed Image Text:= X1 + 3x₂ + 2x3 = 9 3x1 x2 4x2 + 4x3 + 2x3 = 8 2x1 Suppose after using a calculator to put the augmented matrix in reduced echelon form and the calculator gives you the following result: 14 1 03/10 5 01/3 5 00 0 0 Give the solution to the above system or state that no solution exist.
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