Using properties of determinants in , prove that:

SOLUTION:

 L.H.S. = 

= 

=  (say) ……….(i)

Now 

= 

= 

= 

 From eq. (i), L.H.S. =  ……….(ii)

Now 

=  

Expanding along third column, 

= 

= 

= 

= 

= 

 From eq. (i), L.H.S. = 

=  = R.H.S.