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1. '''Matrix Multiplication'''
 
1. '''Matrix Multiplication'''
  
A matrix multiplication is a production of a new matrix from a pair of matrices.
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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.
 
Matrices can only multiply if the number of columns for the first matrix equals the number of rows for the second matrix.

Revision as of 16:03, 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!

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett