ISRO | ISRO CS 2008 | Question 80
If the two matrices
have the same determinant, then the value of x is
(A) 1/2
(B) √2
(C) ± 1/2
(D) ± 1/√2
Answer: (A)
Explanation: Determinant of 1st Matrix = X2 – 1
Determinant of 2nd Matrix = X2– X
Since the determinants are equal:
X2 - 1 = X2 - 1 X2 + X - 1 = 0 X = 1/2
Option (A) is correct.