Given - P 2-i i-1 2-i q 3-i 1-i 3-i r- - is

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Evaluation of a Determinant

Given Δ= P ...

Question

Given $Δ$ $= ∣ ∣ ∣ ∣ \begin{matrix} P & 2 - i & i + 1 2 + i & q & 3 + i 1 - i & 3 - i & r \end{matrix} ∣ ∣ ∣ ∣$ , $Δ$ is

Real

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Imaginary

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Complex

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Cannot be determined

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Solution

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Δ

= ∣ ∣ ∣ ∣ \begin{matrix} P & 2 - i & i + 1 2 + i & q & 3 + i 1 - i & 3 - i & r \end{matrix} ∣ ∣ ∣ ∣

Δ

Δ

∣ ∣ ∣ ∣ \begin{matrix} a & s - i & 7 + i s + i & b & 3 + i 7 - i & 3 - i & c \end{matrix} ∣ ∣ ∣ ∣

Δ

l o g_{2} a = p, l o g_{4} b = p^{2}

l o g_{c^{2}} (8) = \frac{2}{p^{3} + 1}

l o g_{2} (\frac{c^{8}}{a b^{2}}) = (α p^{3} - β p^{2} - γ p + δ)

α, b e t a, γ, δ, \in N

(α + β + γ + δ)

Δ

Δ

= 10

= 15

= 12

Δ

\sim Δ

Δ

\sim

Δ

\frac{A B}{P Q} = \frac{1}{3}

\frac{a r Δ A B C}{a r Δ P Q R}

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