A- 1 - - 2- - - 2 1- -2 1 - - Find Det A

A=[ 1 amp; ω #160; amp; ω #160; ^ 2; ω #160; amp; ω #160; ^ 2 amp; ...

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Evaluation of a Determinant

A=[ 1 ω ω 2...

Question

$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & ω & ω^{2} ω & ω^{2} & 1 ω^{2} & 1 & ω \end{matrix} ⎤ ⎥ ⎦$ Find Det A

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Solution

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Similar questions

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & ω & ω^{2} ω & ω^{2} & 1 ω^{2} & 1 & ω \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} ω & ω^{2} & 1 ω^{2} & 1 & ω ω & ω^{2} & 1 \end{matrix} ⎤ ⎥ ⎦, C = ⎡ ⎢ ⎣ \begin{matrix} 1 ω ω^{2} \end{matrix} ⎤ ⎥ ⎦

(A + B) C

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & ω & ω^{2} ω & ω^{2} & 1 ω^{2} & 1 & ω \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} ω & ω^{2} & 1 ω^{2} & 1 & ω ω & ω^{2} & 1 \end{matrix} ⎤ ⎥ ⎦

C = ⎡ ⎢ ⎣ \begin{matrix} 1 ω ω^{2} \end{matrix} ⎤ ⎥ ⎦

ω

1

(A + B) C

ω \neq 1

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & ω & ω^{2} ω & ω^{2} & 1 ω^{2} & 1 & ω \end{matrix} ⎤ ⎥ ⎦

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & ω & ω^{2} ω & ω^{2} & 1 ω^{2} & 1 & ω \end{matrix} ∣ ∣ ∣ ∣ ∣ = \dots

ω

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & ω & ω^{2} ω & ω^{2} & 1 ω^{2} & ω & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣

ω

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