homework set 10-Solutions - B ˙ ILKENT UNIVERSITY...

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Unformatted text preview: B ˙ ILKENT UNIVERSITY Department of Mathematics MATH 225, LINEAR ALGEBRA and DIFFERENTIAL EQUATIONS, Solution of Homework set 1 # 10 U. Mu˘gan July 2, 2008 Homework problems from the 2 nd Edition, SECTION 3.6 23 (23) ) 2 The coefficient matrix A is A = • 17 7 12 5 ‚ and det A = 1. Therefore by the Cramer’s rule x = 1 det A fl fl fl fl 6 7 4 5 fl fl fl fl = 2 . and x = 1 det A fl fl fl fl 17 6 12 4 fl fl fl fl =- 4 . 28 (28) ) The coefficient matrix A is A =   5 4- 2 2 3 2- 1 1   and det A = 35. By the Cramer’s rule x 1 = 1 det A fl fl fl fl fl fl 4 4- 2 2 3 1- 1 1 fl fl fl fl fl fl = 4 / 7 , x 2 = 1 det A fl fl fl fl fl fl 5 4- 2 2 2 3 2 1 1 fl fl fl fl fl fl = 3 / 7 , x 3 = 1 det A fl fl fl fl fl fl 5 4 4 2 2 2- 1 1 fl fl fl fl fl fl = 2 / 7 . 31 (31) ) The coefficient matrix A is A =   2- 5 4- 5 3- 2 1 1   and det A = 14. By the Cramer’s rule x 1 = 1 det A fl fl fl fl fl fl- 3- 5 3- 5 3 1 1 1 fl fl fl fl fl fl =- 8 7 , x 2 = 1 det A fl fl fl fl fl fl 2- 3- 5 4 3 3- 2 1 1 fl fl fl fl fl fl =- 10 7 , x 3 = 1 det A fl fl fl fl fl fl 2- 3 4- 5 3- 2 1 1 fl fl fl fl fl fl = 1 7 ....
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This note was uploaded on 06/18/2010 for the course COMPUTER S Math 225 taught by Professor Yosumhoca during the Spring '10 term at Bilkent University.

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homework set 10-Solutions - B ˙ ILKENT UNIVERSITY...

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