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1. '''Matrix Multiplication'''
 
1. '''Matrix Multiplication'''
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1.1 Definition
  
 
A matrix multiplication is the production of a new matrix from a pair of matrices.
 
A matrix multiplication is the production of a new matrix from a pair of matrices.
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Then C will be "m x n"
 
Then C will be "m x n"
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1.2 Properties
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a) B A

Revision as of 17:12, 7 December 2011

Matrix Multiplication and Coordinate Systems

1. Matrix Multiplication

1.1 Definition

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"

1.2 Properties

a) B A

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