Can be used to solve syctems of linear equatilons DIRECT METHOD 1: Gauss- Jordan Elimination algorithm that Can be uced to solve syctems of inear equation invertible matrix. Gauss-Jordon Elimination is an and to find the inverse of any It relies upen three elementary row operctione One Can use on matrix : 1) Swap the positions of two of the rows. 2) multiply one of the rows by a nun zero scalor 3-) Add or subtract the scalar multiple of one row to another row. 3. 10 0 X, X2 X3- EXAMPLE: 1) X, + X2 t 2X,=5 3X, t 2x, t Xg =8 X, - 2x2 +3メっこ0 S0l'n:
Can be used to solve syctems of linear equatilons DIRECT METHOD 1: Gauss- Jordan Elimination algorithm that Can be uced to solve syctems of inear equation invertible matrix. Gauss-Jordon Elimination is an and to find the inverse of any It relies upen three elementary row operctione One Can use on matrix : 1) Swap the positions of two of the rows. 2) multiply one of the rows by a nun zero scalor 3-) Add or subtract the scalar multiple of one row to another row. 3. 10 0 X, X2 X3- EXAMPLE: 1) X, + X2 t 2X,=5 3X, t 2x, t Xg =8 X, - 2x2 +3メっこ0 S0l'n:
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:10x2 t 0メ3
R2-3R, D R2
Rg
RI
ャR3
2.
-5
-7
-3
-S.
23ー3R2中 Rg
2.
1-
-7
16
16
R,-R, R,
R3 R,
8.
R2 +5
R2 7 Rz
16
ー1
-2
16
16
R, tR2 # R,
ャ Rz
16
1
2.
0
0
X, t0x2 t0x3っこ1
X, = 1
X2 =2
X, = 1
|-
Transcribed Image Text:DIRECT METHOD 1: Gauss-Jordan Elimination
Gauss-Jordcn Elimination is an algorithm that
Can be uced to solve syctems of linear equotion
invertible matrix,
and to find the inverse of any
It relies upon three elementary
row operations
One Can use on
a matrix:
1.) Swap the positions of two of the rows.
One of the rows by a nun zero scalor
3-) Add or subtract the scalar multiple of one
row to onother
row.
X,
X2
X3-
EXAMPLE:
) X, + X2 + 2Xg =5
3X, t 2x, t Xg
272
, = 8
x, - 2x2 + 3X2=0
+3x,=D0
Sol'n :
X,
2
1.
8.
3
-2 3
2.
0.
R2-3R, D R2
R2- R, R,
メー
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