Given that begin vmatrix end vmatrix -5-18283 -then the value of beginvmatrix -8-1 - dend vmatrix is

2 a amp; d amp; 1 nbsp; b amp; e amp; 1 c amp; f amp; 3 3 a amp; d amp; 1 nbsp; b amp; e amp; 1 c amp; f amp; ...

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Transpose of a Matrix

Given that b...

Question

Given that $∣ ∣ ∣ ∣ \begin{matrix} a & d & 1 b & e & 1 c & f & 1 \end{matrix} ∣ ∣ ∣ ∣ = - 5, ∣ ∣ ∣ ∣ \begin{matrix} a & b & c 1 & 2 & 3 d & e & f \end{matrix} ∣ ∣ ∣ ∣ = - 3$ , then the value of $∣ ∣ ∣ ∣ \begin{matrix} c & 3 & f b & 1 & e a & - 1 & d \end{matrix} ∣ ∣ ∣ ∣$ is

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∣ ∣ ∣ \begin{matrix} 3 x & 7 - 2 & 4 \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 8 & 7 6 & 4 \end{matrix} ∣ ∣ ∣

x .

∣ ∣ ∣ \begin{matrix} 2 x & 5 8 & x \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 6 & - 2 7 & 3 \end{matrix} ∣ ∣ ∣

x .

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∣ ∣ ∣ \begin{matrix} 2 x & 5 8 & x \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 6 & 5 8 & 3 \end{matrix} ∣ ∣ ∣

2 \times 2

A

A ∣ ∣ ∣ \begin{matrix} 1 - 1 \end{matrix} ∣ ∣ ∣ = - 1 ∣ ∣ ∣ \begin{matrix} 1 - 1 \end{matrix} ∣ ∣ ∣

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∣ ∣ ∣ \begin{matrix} 11 \end{matrix} ∣ ∣ ∣

∣ ∣ ∣ \begin{matrix} 12 \end{matrix} ∣ ∣ ∣

A^{2}

∣ ∣ ∣ \begin{matrix} 11 \end{matrix} ∣ ∣ ∣

∣ ∣ ∣ \begin{matrix} 10 \end{matrix} ∣ ∣ ∣

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