Find x, y and z so that A = B, where
Given two matrices are equal as A = B.
We know that if two matrices are equal then the elements of each matrices are also equal.
∴x – 2 = y …… (1)
z = 3
And y + 2 = z …… (2)
2y = 6z
⇒ y = 3z ……(3)
Putting the value of z in equation (3)
∴ y = 3z = 3×3 = 9
Putting the value of y in equation (1)
x – 2 = 9
⇒ x – 2 = 9
⇒ x = 9 + 2
⇒ x = 11
∴ x = 11, y = 9, z = 3