[C₁’ = C₁/x, C₂’ = C₂/y & C₃’ = C₃/z]

[C₁’ = C₁ - C₂ & C₂’ = C₂ - C₃]

[C₁’ = C₁/(x - y)& C₂’ = C₂/(y - z)]

= xyz(x - y)(y - z)(0 + 0 + y + z - x - y) [expansion by first row]

= xyz(x - y)(y - z)( z - x)