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




2 Comments to “4.4 Multiplication of a Matrix by a Number”

  1. Hi, For example (b) -2A. There is a mistake where -2 x -2 should be 4 not -4. Please recitfy.

    1. Dear Gurdit Singh,
      thanks for pointing out our mistake, correction had been made accordingly.

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