Business Mathematics example: linear algebra

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by  KIT Tyabandha

Department of Mathemati
s, Mahidol University Kit Tyabandha, PhD
Examples for linear algebra
th
17 January, 2006
1. Solve using the Gaussian elimination,
3x1+8x2 =53
6x1+2x2 =50
Solution. Write the equations in an augmented matrix,
(cid:20) (cid:21)
3 8 53
[A B℄=
6 2 50
1
Row 1 times ,
3 (cid:20) (cid:21)
8 53
1
3 3
6 2 50
Row 1 subtra
ted by 2 times of Row 1,
(cid:20) (cid:21)
8 53
1
3 3
0 (cid:0)14 (cid:0)56
1
Row 2 times (cid:0) ,
14 (cid:20) (cid:21)
8 53
1
3 3
0 1 4
8
Row 1 subtra
ted by times of Row 2,
3
(cid:20) (cid:21)
1 0 7
0 1 4
Therefore x(cid:22)1 =7 and x(cid:22)2 =4.
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th
Business Mathemati
s, Examples for Linear algebra{1{From 17 Jan 06, as of 17 January, 2006