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## Matrix Inverse and Multiplication

by: Kaushik Nimmala

24

0

4

# Matrix Inverse and Multiplication 6250

Marketplace > Bowling Green State University > ComputerScienence > 6250 > Matrix Inverse and Multiplication
Kaushik Nimmala
BGSU
GPA 3.5
Dr.Lee

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Hey, Here's the run down on how to do matrix inverses
COURSE
PROF.
Dr.Lee
TYPE
Class Notes
PAGES
4
WORDS
CONCEPTS
Matrix, Inverse
KARMA
25 ?

## Popular in ComputerScienence

This 4 page Class Notes was uploaded by Kaushik Nimmala on Tuesday August 25, 2015. The Class Notes belongs to 6250 at Bowling Green State University taught by Dr.Lee in Summer 2015. Since its upload, it has received 24 views. For similar materials see Advanced Computer Graphics I in ComputerScienence at Bowling Green State University.

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Date Created: 08/25/15
Matrix Multiplication and Inverse Calculations Advanced Computer Graphics CS 6250 Instructor DrJK Jake Lee BGSU Notes By Kaushik Nimmala Matrix A Matrix is an array of numeric elements such as 2 2 3 1 064 Matrix Inverse Calculation A1 ilt Cofactor Z A A Where A is the determinant of matrix A 11 12 13 Let A 21 22 23 a a a 31 32 33 Cofactor matrix exists for every element of a matrix for example Cofactor matrix of 11 is a a 22 23 32 33 c 11 This is obtained by deleting the row and column of the element we are considering Its value is the determinant of 1 which is 1 22 X 33 23 X 32 Ofcourse the matrix here is 2x2 so it is easy to see this calculation but for 3x3 For 3x3 or higher order matrices the determinant can be calculated as the sum of products of the elements of ANY row or column with their cofactors For example the determinant of matrix A is lAl 12 X 2 22 X 22 32 X 32 Cofactor matrix of A is de ned as 1 2 3 C c c c A 21 22 23 C C C 31 32 33 again the inverse of a matrix is de ned as A lzixAc lAl Matrix multiplication lfA is a 3x3 matrix and B is a 3x3 matrix 1 A E2 c y z Then multiplying them gives A E1 o12byr3 5 w in H 1Q Or gives 331 It It ya yb yr an all asquot A 11 Er in t H 1 Basically each row of the rst matrix is multiplied to each column of the second matrix to give one element

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