Homework_1_Solutions - 14:125:308 Introduction to...

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14:125:308: Introduction to Biomechanics Spring 2007 Homework Assignment #1 Due 1/25/07 Problem 1: (Linear Algebra and vectors) Solve the following problems by hand (Do not use a computer program. Show all computations and work) a) Find the inverse of the following matrix = 0 3 4 2 1 2 2 2 3 A AdjA A A 1 1 = ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) = = = × × × × × × × × × × × × × × × × × × = = = + = + + = × × + × × × × = + = 30 7 30 17 15 1 15 1 15 4 15 4 10 2 10 2 10 2 7 17 2 2 8 8 6 6 6 30 1 7 17 2 2 8 8 6 6 6 2 2 1 3 3 3 4 2 4 1 3 2 2 3 2 2 4 2 0 3 0 2 4 2 1 2 2 2 0 2 3 2 3 2 0 1 30 4 16 18 4 6 2 8 0 2 6 0 3 4 1 3 2 2 4 2 0 2 2 3 2 0 1 3 1 21 12 22 11 32 11 31 12 31 22 32 21 23 11 21 13 31 13 33 11 33 21 31 23 22 13 23 12 33 12 32 13 32 23 33 22 31 22 32 21 13 31 23 33 21 12 32 23 33 22 11 A a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a AdjA a a a a a a a a a a a a a a a A
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