3) 4) 1 x-y + 2z - w = -1 2x + y2z2w = -2 -x + 2y4z + w = 1 3x3w=-3 1₁ 21₁-12 + 313 + 4/4 = 9 213 + 714 = 11 31₁ 312 +13 + 514 = 8 21₁ + 1₂ +413 + 4/4 = 10

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 60EQ
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Question
Q1) solve the following linear systems by using Gauss elimination
and Gauss-Jordan elimination.
1)
2)
3)
x - y + 2z – w = -1
2х + у — 2z — 2w 3D - 2
-x + 2y – 4z + w = 1
Зх — Зw — —3
4)
211 - 12 + 313 + 414 = 9
1 - 213 + 714
31, – 31, + 13 + 514 = 8
211 + 12 + 413 + 414 = 10
= 11
Transcribed Image Text:Q1) solve the following linear systems by using Gauss elimination and Gauss-Jordan elimination. 1) 2) 3) x - y + 2z – w = -1 2х + у — 2z — 2w 3D - 2 -x + 2y – 4z + w = 1 Зх — Зw — —3 4) 211 - 12 + 313 + 414 = 9 1 - 213 + 714 31, – 31, + 13 + 514 = 8 211 + 12 + 413 + 414 = 10 = 11
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