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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. | ||
Revision as of 16:28, 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
