Solve :

Engineering

Mathematics

Special Type of Square Matrices

Introduction to Determinants

Properties of Determinant

Question

Solve : $∣ \begin{array}{ccc} 0 & a & - b \\ - a & 0 & - c \\ b & c & 0 \end{array} ∣ = 0$

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∣ \begin{array}{ccc} 0 & a & - b \\ - a & 0 & - c \\ b & c & 0 \end{array} ∣ = 0

using matrix propertis

⇒ 0(0 + c²) – a(– a0 + bc) – b[– ac – 0 × b]

0 = – abc + abc + 0

= 0