Proving an equation using Properties of Determinants

[harshakantha]

Hello guys I've asked to prove following equation on determinants, here it is;

Using the properties of determinants & without expanding prove that,

see attachment,

I need to verify my answer can some one tell me whether is this correct or not?

 

[jaumzaum]

Right, and btw, nice answer .I'd do by the easy determinant way

 

[harshakantha]

Right, and btw, nice answer .I'd do by the easy determinant way

So why don't u tell me the easyest way??