What is the (unique) solution to the system when all the non-basic variables are set to 0 once in reduced echelon form. X1 E- X2 X3 X4 || -X1 4x1 3x1 2x1 +x2 -5x2 -4x2 +6x3 -2x2 - 6x3 +3x3 +2x4 = +3x3 +2x4= +4x4 = 4x4 = 4 1 5 -8

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter8: Linear Functions
Section8.8: Systems Of Linear Equations
Problem 1E
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What is the (unique) solution to the system when all the non-basic variables are set to 0 once in reduced echelon
form.
X1
x2
x 3
X4
||
-X1
4x1
3x1
2x1
+x₂
+3x3 +2x4
4
-5x2
+3x3
+2x4
1
-4x2 +6x3
+4x4= 5
-2x2 - 6x3
- 4x4
-8
=
=
=
Transcribed Image Text:What is the (unique) solution to the system when all the non-basic variables are set to 0 once in reduced echelon form. X1 x2 x 3 X4 || -X1 4x1 3x1 2x1 +x₂ +3x3 +2x4 4 -5x2 +3x3 +2x4 1 -4x2 +6x3 +4x4= 5 -2x2 - 6x3 - 4x4 -8 = = =
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