Use the fact that the matrices 1 4 4 1 5 4 1 4 5and 9 −4 −4 −1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Use the fact that the matrices
and
are inverses of each other to solve the following system of linear equations.
| 1 | 4 | 4 | ||
| 1 | 5 | 4 | ||
| 1 | 4 | 5 |
| 9 | −4 | −4 | ||
| −1 | 1 | 0 | ||
| −1 | 0 | 1 |
| x+4y+4z=48 |
| x+5y+4z=57 |
| x+4y+5z=51 |
The solution is
x=enter your response here,
y=enter your response here,
and
z=enter your response here.
(Type integers or simplified fractions.)
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