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) 40 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 ( 2x 3y )4( 2 3 )=( 2 6 ) Find the values of x and y

Solution:
2x+8=2 2x=10 x=5 3y12=6 3y=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+3n=12 3n=6 n=2 3m+4n=7 3m+4( 2 )=7 3m=15 m=5 m+n=5+( 2 )=3