0 amp; a amp; b a amp; 0 amp; c b amp; c amp; 0 =0 (Since value of determinant of skew symmetric matrix of odd orders is 0). ...

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Special Determinants

0 a -b-a ...

Question

$∣ ∣ ∣ ∣ \begin{matrix} 0 & a & - b - a & 0 & c b & - c & 0 \end{matrix} ∣ ∣ ∣ ∣ =$

-2abc

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abc

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a^{2} + b^{2} + c^{2}

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Solution

The correct option is C \N
$∣ ∣ ∣ ∣ \begin{matrix} 0 & a & - b - a & 0 & c b & - c & 0 \end{matrix} ∣ ∣ ∣ ∣ = 0$ (Since value of determinant of skew-symmetric matrix of odd orders is 0).

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a + b + c

lim x \to 0 (\frac{a}{b} + \frac{cos x}{b})

∣ ∣ ∣ ∣ \begin{matrix} 0 - a b \end{matrix} \begin{matrix} a 0 c \end{matrix} \begin{matrix} - b - c 0 \end{matrix} ∣ ∣ ∣ ∣ = 0

∣ ∣ ∣ ∣ \begin{matrix} 0 & a & - b - a & 0 & - c b & c & 0 \end{matrix} ∣ ∣ ∣ ∣ = 0

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