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Question

Question: ∆ = \(\left| \begin{matrix} p & 2 - i & i + 1 \\ 2 + i & q & 3 + i \\ 1 - i & 3 - i & r \end{matrix}...

∆ = p2ii+12+iq3+i1i3ir\left| \begin{matrix} p & 2 - i & i + 1 \\ 2 + i & q & 3 + i \\ 1 - i & 3 - i & r \end{matrix} \right|is always

A

Real

B

Imaginary

C

Zero

D

None of these

Answer

Real

Explanation

Solution

Since ∆ = Δˉ\bar{\Delta} ⇒ ∆ is purely real.