Using the properties of determinants, find the value of

Engineering

Mathematics

Introduction to Determinants

Question

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

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Let $∆ = ∣ \begin{array}{ccc} 0 & a & - b \\ - a & 0 & - c \\ b & c & 0 \end{array} ∣$
Expanding along first column,
Δ = a(0 + bc) + b(– ac – 0) = abc – abc = 0

Please subscribe our Youtube channel to unlock this solution.