Two definitions you must know in order to multiply with scalar numbers:
2. REAL NUMBER
If A is any matrix and n is any SCALAR number,
then the Scalar Multiple of A by n is notated as such:
Rules:
1. To multiple a matrix by a scalar number you must multiply each component my that number.
2. When multiplying a 2x3 matrix by a scalar number, the resulting matrix dimensions will be identical to the original matrix's dimensions, 2x3.
For example, see the Scalar Mulitplication Examples.

Latest update to this document: 16 November 2001
Jessica Schneider: jeschnei@nmu.edu