Find the value of x from the following: .

We are given that,

We need to find the value of x.

Determinant of 2 × 2 matrix is found as,

So, determinant of the given matrix is found as,

According to the question, equate this to 0.

2x² – 4 = 0

We need to solve the algebraic equation.

2x²= 4

⇒ x² = 2

Taking square root on both sides of the equation,

⇒ x = ±√2

Hence, the value of x is ±√2.