Consider the following system of linear equations: -11x + 3y +-31z 118 -4x + 1y+-11z = 42

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.8: Systems Of Linear Equations
Problem 20E
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b) Give the augmented matrix associated to the system of linear equations above.
Answer:
ab
sin (a)
∞
Ω
əx
c) Row reduce the augmented matrix to reduced row echelon form.
Answer:
ab
sin (a)
∞
a Ω
əx
d) Find the solution of the initial system of linear equations. In the most extreme case, it will have the form
x=a+sb+tc
where s and t are free parameters; but you may have a unique solution (in which case b = c = 0) or only one parameter in your solution (in which case
= 0). (Write the vectors and as a single matrix [6] with two columns, please.)
a =
[bc] =
8
Transcribed Image Text:b) Give the augmented matrix associated to the system of linear equations above. Answer: ab sin (a) ∞ Ω əx c) Row reduce the augmented matrix to reduced row echelon form. Answer: ab sin (a) ∞ a Ω əx d) Find the solution of the initial system of linear equations. In the most extreme case, it will have the form x=a+sb+tc where s and t are free parameters; but you may have a unique solution (in which case b = c = 0) or only one parameter in your solution (in which case = 0). (Write the vectors and as a single matrix [6] with two columns, please.) a = [bc] = 8
Consider the following system of linear equations:
-11x + 3y +-31z = 118
-4x + 1y+-11z = 42
Transcribed Image Text:Consider the following system of linear equations: -11x + 3y +-31z = 118 -4x + 1y+-11z = 42
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