4.4 Multiplication of a Matrix by a Number

4.4 Multiplication of a Matrix by a Number
When matrix is multiplied by a number, every element in the matrix is multiplied by the number.

Example:
Given that  A = ( 2 4 5 6 ) , find each of the following.
(a) 3A
(b) -2A 

Solution:
(a) 3 A = 3 ( 2 4 5 6 ) = ( 3 × ( 2 ) 3 × 4 3 × 5 3 × ( 6 ) ) = ( 6 12 15 18 )


(b) 2 A = 2 ( 2 4 5 6 ) = ( 2 × ( 2 ) 2 × 4 2 × 5 2 × ( 6 ) ) = ( 4 8 10 12 )




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