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.