यदि \( \omega \neq 1, \omega^{3}=1 \) तथा \( \left|\begin{array}{ccc}x+1 & \omega & \omega^{2} \...

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If \( A=\left[\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2}... If \( A=\left[\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2}...
The value of \( \left|\begin{array}{ccc}1 & \omega & 2 \omega^{2} \\ 2 & 2 \omega^{2} & 4 \omega... The value of \( \left|\begin{array}{ccc}1 & \omega & 2 \omega^{2} \\ 2 & 2 \omega^{2} & 4 \omega...
If \(\omega\) is cube root of unity, then \(\left|\begin{array}{ccc}1 & \omega^3 & \omega... If \(\omega\) is cube root of unity, then \(\left|\begin{array}{ccc}1 & \omega^3 & \omega...
\[ \left|\begin{array}{ccc} 1 & \omega^{3} & \omega^{5} \\ \omega^{3} & 1 & \omega^{4} \\ \omega... \[ \left|\begin{array}{ccc} 1 & \omega^{3} & \omega^{5} \\ \omega^{3} & 1 & \omega^{4} \\ \omega...
The value of the determinant \( \left|\begin{array}{ccc}1 & \omega^{3} & \omega^{5} \\ \omega^{3... The value of the determinant \( \left|\begin{array}{ccc}1 & \omega^{3} & \omega^{5} \\ \omega^{3...
If `omega` is a complex number such that `omega ^(3) =1,` then the value of `(1+ omega -omega^(2 If `omega` is a complex number such that `omega ^(3) =1,` then the value of `(1+ omega -omega^(2
If \( \omega \) is a root of the equation \( x+\frac{1}{x}+1=0 \), then \( \left|\begin{array}{c... If \( \omega \) is a root of the equation \( x+\frac{1}{x}+1=0 \), then \( \left|\begin{array}{c...
If \( \frac{1}{a+\omega}+\frac{1}{b+\omega}+\frac{1}{c+\omega}+\frac{1}{d+\omega}=\frac{1}{\omeg.... If \( \frac{1}{a+\omega}+\frac{1}{b+\omega}+\frac{1}{c+\omega}+\frac{1}{d+\omega}=\frac{1}{\omeg....