Matrices Short Questions (Question 1 – 4)


Question 1:
( 1 4 6 2 ) + 3 ( 2 0 4 3 ) ( 3 0 2 5 )

Solution:

( 1 4 6 2 ) + 3 ( 2 0 4 3 ) ( 3 0 2 5 ) = ( 1 4 6 2 ) + ( 6 0 12 9 ) ( 3 0 2 5 ) = ( 7 4 18 7 ) ( 3 0 2 5 ) = ( 7 ( 3 ) 4 0 18 ( 2 ) 7 ( 5 ) ) = ( 10 4 20 2 )



Question 2:
Find the value of m in the following matrix equation:
( 9 4 5 0 ) + 1 2 ( 8 m 6 10 ) = ( 13 7 2 1 )

Solution:

( 9 4 5 0 ) + 1 2 ( 8 m 6 10 ) = ( 13 7 2 1 ) 4 + 1 2 m = 7 1 2 m = 3 m = 6



Question 3:
Given ( 2 x 3 y ) 4 ( 2 3 ) = ( 2 6 ) Find the values of x and y

Solution:

2 x + 8 = 2 2 x = 10 x = 5 3 y 12 = 6 3 y = 18 y = 6



Question 4:
Given that matrix equation 3 ( 6   m ) + n ( 3   4 ) = ( 12   7 ) ,   find the value of  m   +   n

Solution:

3 ( 6      m ) + n ( 3      4 ) = ( 12      7 ) 18 + 3 n = 12 3 n = 6 n = 2 3 m + 4 n = 7 3 m + 4 ( 2 ) = 7 3 m = 15 m = 5 m + n = 5 + ( 2 ) = 3

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