Scalar Multiplication of Matrices...




Two definitions you must know in order to multiply with scalar numbers:

1. SCALAR NUMBER

2. REAL NUMBER




DEFINITION OF SCALAR MULTIPLICATION:

If A is any matrix and n is any SCALAR number, then the Scalar Multiple of A by n is notated as such:

nA

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.




For examples of scalar multiplication of matrices click HERE.

To practice scalar multiplication of matrices click HERE.

When finished doing the above problems, click HERE for the answers.


Or, just click the NEXT button to go to the conclusion of my tutorial...


To review subtraction of matrices, click HERE.
To review the addition of matrices, click HERE.
Or to return to main page, click HERE.

Latest update to this document: 16 November 2001

Jessica Schneider: jeschnei@nmu.edu