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Determinants

Question

Write the value of the determinant $|\begin{matrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 6 x & 9 x & 12 x \end{matrix}|$

Solution

$∆ = |\begin{matrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 6 x & 9 x & 12 x \end{matrix}| R_{3} \to \frac{1}{3 x} R_{3} ∆ = |\begin{matrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 2 & 3 & 4 \end{matrix}| Now, R_{1} = R_{3} ∴ ∆ = 0$

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Determinants

Write the value of the determinant $|\begin{matrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 6 x & 9 x & 12 x \end{matrix}|$

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Determinants

Write the value of the determinant 2 3 4 5 6 86x 9x 12x

Some More Questions From Determinants Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Write the value of the determinant $|\begin{matrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 6 x & 9 x & 12 x \end{matrix}|$