Question

Find the valye of x, y, z so that matrices A and B are equal where
A=[x+y z] and B=[3 2]
[1 x-y] [1 7]

Answer 1

Answer:

It is given that, A=B

[

x−2

18z

3

y+2

2z

6z

]=[

y

6y

z

x

6

2y

]

Since, matrices are equal then, their corresponding elements are also equal.

⇒ x−2=y

⇒ 3=z ---- ( 1 )

⇒ 2z=6

⇒ 18z=6y ---- ( 2 )

⇒ y+2=x ----- ( 3 )

⇒ 6z=2y

From ( 1 ) we get,

⇒ z=3

Substituting z=3 in equation ( 2 ) we get,

⇒ 18(3)=6y

⇒ 54=6y

⇒ y=

6

54

∴ y=9

Substituting y=9 in equation ( 3 ) we get,

⇒ x=9+2

∴ x=11

⇒ x=11,y=9 and z=3