X1 — 5х, + 2х; - 20 - —Зx1 + х2 — Хз %3D 8 — 2х2 + 5хз -16.

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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Question

Write the system of linear equation in the Ax = b. Use Gauss- Jordan elimination to solve the
matrix equation of X. 

х1 — 5х2 + 2хз
- 20
-3x1 + x2 – x3 = 8
|
– 2x2 + 5x3
-16.
Transcribed Image Text:х1 — 5х2 + 2хз - 20 -3x1 + x2 – x3 = 8 | – 2x2 + 5x3 -16.
Expert Solution
Step 1

Given system of linear equation is

x15x2+2x3=203x1+x2x3=82x2+5x3=16..........1

Write the given system 1 in matrix equation form Ax=b

152311025x1x2x3=20816

Now, write the augmented matrix A|b, which is given below

A|b=15220311802516

Now, reduce the matrix A|b into reduced row echelon form, which is given below.

A|b=100101030012

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