Prove that

Let Δ =

Δ =


Δ =


Applying Elementary Column Transformations


C1 C1 + C3


Δ =


Since, the two columns are identical


[In a determinant if two columns are identical the the value of determinant is 0]


So, the value of given determinant is 0


Δ = 0


Hence, the given result is proved.


15