Find a if i -2i -1 3i i3 -2 1 -3 -i - ai- where i -1

Given that i amp; 2i amp; 1 3i amp; i^3 amp; 2 1 amp; 3 amp; i=ai Expanding given Determinant #160; i( i^4 6)+2i( 3i^2+ ...

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Determinant

Find a if ...

Question

Find $a$ if $∣ ∣ ∣ ∣ \begin{matrix} i & - 2 i & - 1 3 i & i^{3} & - 2 1 & - 3 & - i \end{matrix} ∣ ∣ ∣ ∣$ = $a i$ , where $i = \sqrt{- 1}$

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z = \frac{- 2 (1 + 2 i)}{3 + i}

i = \sqrt{- 1}

θ (- π < θ \leq π)

z

i = \sqrt{- 1} .

∣ ∣ ∣ \begin{matrix} 2 i & - 3 i i^{3} & {- 2 i}^{5} \end{matrix} ∣ ∣ ∣

∣ ∣ ∣ \begin{matrix} 1 + 3 i & i - 2 - i - 2 & 1 - 3 i \end{matrix} ∣ ∣ ∣

\sum_{i = 1}^{n}_{i} = 0

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i

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A = ⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} \frac{- 1 + i \sqrt{3}}{2 i} & \frac{- 1 - i \sqrt{3}}{2 i} \frac{1 + i \sqrt{3}}{2 i} & \frac{1 - i \sqrt{3}}{2 i} \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦, i = \sqrt{- i}

f (x) = x^{2} + 2

f (A)

n \sum i = 1 {\to a}_{i} = 0

∣ ∣ {\to a}_{i} ∣ ∣ = 1, \forall i,

\sum 1 \leq i < j \leq n \sum {\to a}_{i} . {\to a}_{j}

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