Question

Find the determinant

Answer 1

Hey there!!

Here's your answer..

You have to remember a basic rule of complex numbers to solve this determinant easily.

The rule is 1 + ω + ω² = 0

Now, coming over to the determinant, we can consider C for a column and R for a row.

Now, let us add C1, C2 and C3, with this the C1 is changed as 1 + ω + ω² in all the three places.

But 1 + ω + ω² = 0. So, the entire C1 is zero.


When a complete column is zero, the value of the determinant is zero.

Zero is the required answer.

Hope it helps!!

Answer 2

The answer is explained in the attachment.


Hope it helps!