Homework_1_Solutions

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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 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 ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ − = 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 3 2 4 2 1 2 2 2 2 3 2 3 2 1 30 4 16 18 4 6 2 8 2 6 3 4 1 3 2 2 4 2 2 2 3 2 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 14:125:308: Introduction to Biomechanics Spring 2007 Homework Assignment #1 Due 1/25/07 Show that I A A AA = = − − 1 1 ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ = ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + + − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + + − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − + = ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − × + × + × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ × + × + − × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − × + − × + × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − × + × + × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ × + × + − × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − × + − × + × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − × + × − + × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ × + × − + − × ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − × + − × − + × = ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ − − − − ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ − = − 1 1 1 15 3 15 12 15 12 15 12 15 12 15 12 30 14 30 2 30 12 30 34 30 8 30 12 15 2 15 4 15 6 30 14 30 4 30 18 30 34 30 16 30 18 15 2 15 8 15 9 30 7 15 1 3 10 2 4 30 17 15 4 3 10 2 4 15 1 15...
View Full Document

This note was uploaded on 01/31/2012 for the course BIOMEDICAL 208 taught by Professor Zhann during the Spring '11 term at Rutgers.

Page1 / 7

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online