Question

Hey frnds...

prove this determinant .

no spam plz :)

Answer 1

Thanks for asking the question!

ANSWER::

To solve this question there is some basic thing which needs to be told and that is::

Determinant's behaviour in elementary row operations

When we Interchange two rows = > det (A) = - det (A)

In simple words , the sign of the determinant changes if we interchange two rows .

Now seeing the above question,

Leave the first determinant as it is .

Moving on to the second determinant,

Lets interchange 1st column with 2nd column.

Now , interchange the new 1st column with 3rd column.

And now the last step interchange 1st row with 3rd row ( in this sign will change of second determinant)

Now , we can see both determinants are same but one is positive and other negative . So , both will cancel out each other.

Hence , the answer is 0

Hope it helps!