Q. The system of equations
$p x + (p + 1) y + (p - 1) z = 0$
$(p + 1) x + p y + (p + 2) z = 0$
$(p - 1) x + (p + 2) y + p z = 0$
has a non-trivial solution for

836 83 Determinants Report Error

A

exactly three real values of p.

B

exactly two real values of p.

C

exactly one real value of p.

D

infinite number of real values of p.

Solution:

$D = 0$ gives $p = \frac{- 1}{2}$