1) Use the matrix approach to solve the following system of equations x + 2y = 4 За — 7у — —1. Yes, we know you can do this directly, but it is very useful for you to practice setting up a matrix system, and peforming Gaussian elimination! That will be put to good use in the next part of this question. Written as the vector, the solution is Note: remember, the Maple notation for the vector 4 is <4,-1>. -1 ii) Use the matrix approach to solve the following system of equations x + y+z+w=2 x + 2y + z+ 2w= 0 x + 2y + 3w = -3 x + 3y + 2z +4w = -1. Write your solution as the vector W Note: remember to write a vector like as <2,0,-3,-1>. -3 -1 || 3א ב&

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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Question
i) Use the matrix approach to solve the following system of equations
x + 2y = 4
3x – 7y = -1.
Yes, we know you can do this directly, but it is very useful for you to practice setting up a matrix system, and
peforming Gaussian elimination! That will be put to good use in the next part of this question.
()-
()
Written as the vector, the solution is
4
is <4,-1>.
Note: remember, the Maple notation for the vector
ii) Use the matrix approach to solve the following system of equations
x +y+z+ w = 2
x + 2y + z + 2w = 0
x + 2y + 3w = -3
x + 3y + 2z +4w= –1.
Write your solution as the vector
2
Note: remember to write a vector like
as <2,0,-3,-1>.
-3
-1
||
Transcribed Image Text:i) Use the matrix approach to solve the following system of equations x + 2y = 4 3x – 7y = -1. Yes, we know you can do this directly, but it is very useful for you to practice setting up a matrix system, and peforming Gaussian elimination! That will be put to good use in the next part of this question. ()- () Written as the vector, the solution is 4 is <4,-1>. Note: remember, the Maple notation for the vector ii) Use the matrix approach to solve the following system of equations x +y+z+ w = 2 x + 2y + z + 2w = 0 x + 2y + 3w = -3 x + 3y + 2z +4w= –1. Write your solution as the vector 2 Note: remember to write a vector like as <2,0,-3,-1>. -3 -1 ||
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