Solve the foI System Hons. x+y-==3 3x= y+2=1 x+2y-z=5 using: (i) Gaussian elimination,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the following system of linear equations:
x+y=z=3
3x- y+2=1
x+2y-:=5
using:
(i) Gaussian elimination,
(ii) Inverting the coefficient matrix;
(iii) Using an LU-decomposition of the coefficient matrix,
and check the solution by comparing results obtained at (i), (ii), (iii).
Transcribed Image Text:Solve the following system of linear equations: x+y=z=3 3x- y+2=1 x+2y-:=5 using: (i) Gaussian elimination, (ii) Inverting the coefficient matrix; (iii) Using an LU-decomposition of the coefficient matrix, and check the solution by comparing results obtained at (i), (ii), (iii).
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