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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 1PT: Is the following ordered pair a solution to the system of equations? 5xy=12 x+4y=9with(3,3)
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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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