homework set 9-Solutions

# homework set 9-Solutions - BILKENT UNIVERSITY Department of...

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B ˙ ILKENT UNIVERSITY Department of Mathematics MATH 225, LINEAR ALGEBRA and DIFFERENTIAL EQUATIONS, Solution of Homework set 1 # 9 U. Mu˘gan July 2, 2008 Homework problems from the 2 nd Edition, SECTION 3.5 3 (3) ) 2 A - 1 = 6 - 7 - 5 6 , ~x = 6 - 7 - 5 6 ‚• 2 - 3 = 33 - 28 . 5 (5) ) A - 1 = 1 2 4 - 2 - 5 3 , ~x = 1 2 4 - 2 - 5 3 ‚• 5 6 = 1 2 8 - 7 . 7 (7) ) A - 1 = 1 4 7 - 9 - 5 7 , ~x = 1 4 7 - 9 - 5 7 ‚• 3 2 = 1 4 3 - 1 . 11 (11) ) Let £ A | I / = 1 5 1 1 0 0 2 5 0 0 1 0 2 7 1 0 0 1 . Then do the following row operations R 2 - 2 R 1 , R 3 - 2 R 2 , R 1 + R 3 , R 2 - 2 R 3 , R 3 +3 R 2 , ( - 1) R 3 ,..., R 1 - 2 R 2 and obtain £ A | I / = 1 0 0 - 5 - 2 5 0 1 0 2 1 - 2 0 0 1 - 4 - 3 5 . Therefore, A - 1 = - 5 - 2 5 2 1 - 2 - 4 - 3 5 . 17 (17) ) Let £ A | I / = 1 - 3 0 1 0 0 - 1 2 - 1 0 1 0 0 - 2 2 0 0 1 . Then do the following row operations

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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 9-Solutions - BILKENT UNIVERSITY Department of...

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