Find the value of the determinant 2i -3i i3 -2i s where i-i

2i amp; 3i i ^ 3 amp; 2i^ 8 =2i( 2i^ 8 ) i ^ 3 ( 3i ) = 4i+3 i ^ 4 ( ∵ i ^ 8 =( i ^ 4 ) #160; ^ 2 =1 ) =3 4i ( i ...

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Determinant

Find the valu...

Question

Find the value of the determinant $∣ ∣ ∣ \begin{matrix} 2 i & - 3 i i^{3} & - 2 i^{s} \end{matrix} ∣ ∣ ∣$ where $i = \sqrt{- i}$

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

i = \sqrt{- 1}

i = \sqrt{- 1}

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

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

i = \sqrt{- 1}

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} ∣ ∣ ∣

A + i B = \frac{4 + 2 i}{1 - 2 i}

i = \sqrt{- 1}

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