(a) Find the inverse of the matrix. Show your work. 2 4 -4 A = 0 -1 2 -1 2 1 (b) Use the inverse found in (a) to solve the system 2x14x24x3 = 3 -x2 + 2x3 = 1 -X1+2x2 + x3 = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find the inverse of the matrix. Show your work.
2
4 -4
A = 0
-1
2
-
-1
2
1
(b) Use the inverse found in (a) to solve the system
2x14x24x3 = 3
-x2 + 2x3 = 1
-X1+2x2+x3 = 2
Transcribed Image Text:(a) Find the inverse of the matrix. Show your work. 2 4 -4 A = 0 -1 2 - -1 2 1 (b) Use the inverse found in (a) to solve the system 2x14x24x3 = 3 -x2 + 2x3 = 1 -X1+2x2+x3 = 2
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