A matrix is given in row-echelon form. 1 0 -2 2 2 0 1 3 0 -11 0 0 1 -1 0 0 0 0 1 -4 (a) Write the system of equations for which the given matrix is the augmented matrix. (Enter each answer in terms of x, y, z, and w.) = 2 = -11 = 0 = -4 (b) Use back-substitution to solve the system. (x, y, z, w) = 1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
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A matrix is given in row-echelon form.
0
-2 2
2
1
3
0
1 -1
0
0
0 1
-4
(a) Write the system of equations for which the given matrix is the augmented matrix. (Enter each answer in terms of x, y, z, and w.)
= 2
= -11
= 0
= -4
(b) Use back-substitution to solve the system.
(x, y, z, w) =
-([
Read It
H
JO
Type here to search
1000
Need Help?
ܢ ܝܪ ܘ ܐ
0 -11
O
100
C
Transcribed Image Text:A matrix is given in row-echelon form. 0 -2 2 2 1 3 0 1 -1 0 0 0 1 -4 (a) Write the system of equations for which the given matrix is the augmented matrix. (Enter each answer in terms of x, y, z, and w.) = 2 = -11 = 0 = -4 (b) Use back-substitution to solve the system. (x, y, z, w) = -([ Read It H JO Type here to search 1000 Need Help? ܢ ܝܪ ܘ ܐ 0 -11 O 100 C
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