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1. '''Matrix Multiplication''' | 1. '''Matrix Multiplication''' | ||
| − | A | + | A matrix multiplication is a 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. | ||
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A ---> 3x2 matrix (3 is the # of rows, and 2 is the # of columns) | 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) | B ---> 2x3 matrix (2 is the # of rows, and 3 is the # of columns) | ||
THEY DO CAN MULTIPLY! | THEY DO CAN MULTIPLY! | ||
Revision as of 17:03, 7 December 2011
Matrix Multiplication and Coordinate Systems
1. Matrix Multiplication
A matrix multiplication is a 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!
