Math, asked by akhilrockzzz, 1 year ago

Find the determinant

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Answered by Anonymous
3
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!!

akhilrockzzz: Thanks but y is 1+w+w^2=0
Anonymous: That is a general rule
Anonymous: 1 + w + w^2 = 0 and w^3 = 1
Answered by siddhartharao77
4
The answer is explained in the attachment.


Hope it helps!
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siddhartharao77: :-)
Anonymous: Yes, but - w^6 + 2w^3 - 1 = 0 since w^3 = 1 right? You should have included that step
siddhartharao77: How w^3 = 1?
siddhartharao77: Sorry..Forgot
akhilrockzzz: Dude d answer shld be zero
siddhartharao77: ..Sorry for that... I will edit my answer!
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