Value of determinant of matrix - 1- 1- t 1- t 2- 1- 1- t 1- t 2- 1- 1- t 1- t 2 -

The correct option is D 0 [ =| [ 1 amp; α #160; amp; 0; 1 amp; β #160; amp; 0; 1 amp; δ #160; amp; 0 ]| | [ 1 amp; 1 amp ...

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Properties of Determinants

Value of dete...

Question

Value of determinant of matrix $⎡ ⎢ ⎣ \begin{matrix} 1 + α & 1 + α t & 1 + α t^{2} 1 + β & 1 + β t & 1 + β t^{2} 1 + δ & 1 + δ t & 1 + δ t^{2} \end{matrix} ⎤ ⎥ ⎦$

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∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 + α & 1 + α t & {1 + α t}^{2} 1 + β & 1 + β t & {1 + β t}^{2} 1 + γ & 1 + γ t & {1 + γ t}^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ = ?

Δ t_{1}, Δ t_{2}

Δ t_{3}

v_{1}, v_{2}

v_{3}

α

β

γ

x^{3} + a x^{2} + b = 0

b \neq 0

Δ

Δ = ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} \frac{1}{α} & \frac{1}{β} & \frac{1}{γ} \frac{1}{β} & \frac{1}{γ} & \frac{1}{α} \frac{1}{γ} & \frac{1}{α} & \frac{1}{β} \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣

α, β, γ

x^{3} + p x^{2} + q = 0

q \neq 0

Δ = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 / α & 1 / β & 1 / γ 1 / β & 1 / γ & 1 / α 1 / γ & 1 / α & 1 / β \end{matrix} ∣ ∣ ∣ ∣ ∣

Δ T_{1} = Δ T_{2}

Δ T_{1}

Δ T_{2}

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