Line 26: Line 26:
  
 
A ---> "m x p"  
 
A ---> "m x p"  
 +
 
B ---> "p x n"
 
B ---> "p x n"
  
 
Then C will be "m x n"
 
Then C will be "m x n"

Revision as of 17:08, 7 December 2011

Matrix Multiplication and Coordinate Systems

1. Matrix Multiplication

A matrix multiplication is the production of a new matrix from a pair of matrices.

Matrices can only multiply if the number of columns for the first matrix equals the number of rows for the second matrix.

For example

Multiplying AB

A ---> 3x2 matrix (3 is the # of rows, and 2 is the # of columns)

B ---> 2x3 matrix (2 is the # of rows, and 3 is the # of columns)

THEY DO CAN MULTIPLY!


The new matrix will have the rows of the first matrix and the columns of the second matrix.

For example

AB = C

A ---> "m x p"

B ---> "p x n"

Then C will be "m x n"

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood