Question

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

• 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.

Answer 1

Answer: (C)

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