Consider the reduced row-echelon form of the augmented matrix of some system of linear equation in x1 , x2 , x3 , x4 , x5 , x6 given by 1 0 0 -1 -8 -1 1 10 1 -1 1 1 -1 1 12 0 0 0 0 Suppose that the solutions satisfy the constrains ¤1 > 0, x2 > 0, x3 > 0, x4 > 0, x5 > 0, x6 > 0. If x3=0, then what is the minimal possible value of x6? 18 6. 14

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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Consider the reduced row-echelon form of the augmented matrix of some system of
linear equation in x1 , x2 , x3 , x4 , x5 , x6 given by
1
0 0
-1
-8
-1
1
10
1
-1
1
1
-1
1
12
0 0 0 0
Suppose that the solutions satisfy the constrains
¤1 > 0, x2 > 0, x3 > 0, x4 > 0, x5 > 0, x6 > 0.
If x3=0, then what is the minimal possible value of x6?
18
6.
14
Transcribed Image Text:Consider the reduced row-echelon form of the augmented matrix of some system of linear equation in x1 , x2 , x3 , x4 , x5 , x6 given by 1 0 0 -1 -8 -1 1 10 1 -1 1 1 -1 1 12 0 0 0 0 Suppose that the solutions satisfy the constrains ¤1 > 0, x2 > 0, x3 > 0, x4 > 0, x5 > 0, x6 > 0. If x3=0, then what is the minimal possible value of x6? 18 6. 14
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