Q. The value of the determinant $∣ ∣ x x - 1 x + 1 x ∣ ∣$ is

477 179 Determinants Report Error

A

1

46%

B

$- 1$

33%

C

2

8%

D

0

13%

Solution:

We have, $∣ ∣ x x - 1 x + 1 x ∣ ∣ = x (x) - (x + 1) (x - 1)$
$= x^{2} - (x^{2} - 1)$
$= x^{2} - x^{2} + 1 = 1$