Solve the following systems of linear equations by hand using the GJ elimination method. Use pivot elements of 1 or –1 as far as possible to avoid the occurrence of fractions. If the original system is incosistent, obtain a solution to the alternate system in each case. How many solutions of the alternate system were you able to obtain?
Solve the following systems of linear equations by hand using the GJ elimination method. Use pivot elements of 1 or –1 as far as possible to avoid the occurrence of fractions. If the original system is incosistent, obtain a solution to the alternate system in each case. How many solutions of the alternate system were you able to obtain?
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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Transcribed Image Text:2. Solve the following systems of linear equations by hand using the GJ elimination
method. Use pivot elements of 1 or –1 as far as possible to avoid the occurrence
of fractions.
If the original system is inconsistent, obtain a solution to the alternate system in
each case. How many solutions of the alternate system were you able to obtain?
(a)
-x2 + 3x3 + 8x4 – 7x6
-3
7x1 + x2 – 2x3 – 10x4 + 2x5 – 3x6
-4
10x1 + 2x3 + 12x4 + 5x5 – 8x6
(b)
-5x1 – 2x2 + 10.x3 + x4 + 7x5 + 2.x6 – 4x7
-3x1 + 3x2 – 2.x3 – x4 + 2xz + x6 + 3x7
3.
%3|
-8x1 + x2 + 8x3 + 9x5 + 3x6 – 17
X1 + 2x3 – 3x5 – 4.x6 + 2x7
-7x1 + x2 + 10x3 + 6x5 – x6 + x7
6.
%3D
8
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