Q54 of 256 Page 7

If x ∈ N and , then find the value of x.

We are given that,


x ∈ N


We need to find the value of x.


Determinant of 2 × 2 matrix is found as,



So, take





Since,



⇒ 2x2 = 8



⇒ x2 = 4


⇒ x = ±√4


⇒ x = ±2


Since, x ∈ N


-2 is not a natural number.


Thus, the value of x is 2.


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