Statistics Dictionary

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Scalar Multiple

When you multiply a matrix by a number, you multiply every element in the matrix by the same number. This operation produces a new matrix, which is called a scalar multiple.

For example, if x is 5, and the matrix A is:

A =    
100 200
300 400

Then,

  5A   =    5  
100 200
300 400

  5A   =    
500 1000
1500 2000
    =    B   

In the example above, B is a scalar multiple of A.

See also:  Matrix Multiplication