Q. 385.0( 1 Vote )

If <span lang="EN

Answer :

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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