Let a, b, c be three complex numbers and let then z equal

Engineering

Mathematics

Introduction to Matrix

Introduction to Determinants

Properties of Determinant

Question

Let a, b, c be three complex numbers and let $z = ∣ \begin{array}{ccc} 0 & - b & - c \\ b & 0 & - a \\ c & a & 0 \end{array} ∣$ then z equal

purely imaginary

abc

none of these

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$z = ∣ \begin{array}{ccc} 0 & - b & - c \\ b & 0 & - a \\ c & a & 0 \end{array} ∣ = 0 (0 + a^{2}) + b (0 + ac) - c (ab - 0) = 0$