Use the fact that the two matrices to the right are inverses of each other to solve the system of linear equations. x - 2z y - 4x = 5 -5w = -3 +9z = 2 2y + z =9w= 4 The solution is x = , y = , z=, and w=| (Type integers or simplified fractions.) 90 -20-9-55 4 0 10 -4 -2 -1 1 20 and 10-20] 01 0-5 -40 9 0 02 1-9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the fact that the two matrices to the right are inverses of each other to solve the
system of linear equations.
- 2z
X
- 4x
y
= 5
-5w= -3
+9z
2
2y + z - 9w= 4
The solution is x = , y=z=
(Type integers or simplified fractions.)
and w=
90 20
- 20 -9 -5 5
0 10
4
-4 -2 -1 1
and
10-2
01
- 4 0
02
0 -5
9 0
1 -9
Transcribed Image Text:Use the fact that the two matrices to the right are inverses of each other to solve the system of linear equations. - 2z X - 4x y = 5 -5w= -3 +9z 2 2y + z - 9w= 4 The solution is x = , y=z= (Type integers or simplified fractions.) and w= 90 20 - 20 -9 -5 5 0 10 4 -4 -2 -1 1 and 10-2 01 - 4 0 02 0 -5 9 0 1 -9
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