Q. 385.0( 1 Vote )

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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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