Problems: 1) write the augment matrix to the following systems then find the solution: x- y+z =1 a) 2x – 2y + 2z = 2 — 3х + 3у-32 %3-3 x+ y- z = 2 b) 2.x - y+ z =1 Зх + 3у-32 -8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problems:
1) write the augment matrix to the following systems then find the solution:
x- y+z =1
а)
2x – 2y+ 2z = 2
- 3x + 3y – 3z =-3
x+ y- z = 2
b)
2x - y+z =1
3x +3y – 3z =8
2х, %3D1
х, — 2х, %3D 2
х, — 2х, 3-10
X, +x, = 5
2) Find the inverse of each following matrix
1
-1
а)
5
2
5 -2
4
1
3)
b)
2 -1
1
2
-1
Transcribed Image Text:Problems: 1) write the augment matrix to the following systems then find the solution: x- y+z =1 а) 2x – 2y+ 2z = 2 - 3x + 3y – 3z =-3 x+ y- z = 2 b) 2x - y+z =1 3x +3y – 3z =8 2х, %3D1 х, — 2х, %3D 2 х, — 2х, 3-10 X, +x, = 5 2) Find the inverse of each following matrix 1 -1 а) 5 2 5 -2 4 1 3) b) 2 -1 1 2 -1
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