Question

By using properties of determinants, show that:

Answer 1

Taking out common factors a, b, and c from R₁, R₂, and R₃ respectively, we have:

Applying R₂ → R₂ − R₁ and R₃ → R₃ − R₁, 

Applying C₁ → aC₁, C₂ → bC₂, and C₃ → cC₃, we have:

Hence, the given result is proved.