If 
then find values of x, y, z and w.
Given,
As the 2 matrices are equal. So corresponding elements of both the matrix must also hold the equality.
∴ xy = 8 ; w = 4 ; z + 6 = 0 and x + y = 6
Hence, we get:
w = 4
z = -6
∵ x + y = 6
⇒ y = 6 – x
∴ x(6-x) = 8
⇒ x2 – 6x + 8 = 0
⇒ x2 – 4x – 2x + 8 = 0
⇒ x(x – 4) – 2(x – 4) = 0
⇒ (x – 2)(x – 4) = 0
⇒ x = 2 or x = 4
When x = 2 ; y = 4
And when x = 4 ; y = 2
Thus,
x = 2 or 4 ; y = 4 or 2 ; z = -6 and w = 4 …ans
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