If
Obtain the values of a, b, c, x, y and z.
Given two matrices are equal.
We know that if two matrices are equal then the elements of each matrices are also equal.
∴x + 3 = 0
⇒ x = 0 – 3 = – 3 …… (1)
And z + 4 = 6
⇒ z = 6 – 4 = 2 …… (2)
And 2y – 7 = 3y – 2
⇒ 2y – 3y = – 2 + 7
⇒ – y = 5
⇒ y = – 5 …… (3)
4x + 6 = 2x …… (4)
a – 1 = – 3
⇒ a = – 3 + 1 = – 2 …… (5)
2c + 2 = 0
⇒ 2c = – 2
⇒ c = – 1 …… (6)
b – 3 = 2b + 4
⇒ b – 2b = 4 + 3
⇒ – b = 7
⇒ b = – 7 …… (7)
∴ x = – 3, y = – 5, z = 2 and a = – 2, b = – 7, c = – 1