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  • Fill in the blanks The sum of the products of elements of any row with the co-factors of corresponding elements is equal to ___.

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The sum of the products of elements of any row with the co-factors of corresponding elements is equal to ___.

Answers (1)

If, A=\left|\begin{array}{lll} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right|


\\ \vspace{\baselineskip}then $ \vert $ A$ \vert $ = a\textsubscript{11}C\textsubscript{11} + a\textsubscript{12}C\textsubscript{12} + a\textsubscript{13}C\textsubscript{13}\\ \vspace{\baselineskip}

We know that the determinant is equal to sum of corresponding co factors of any row or column

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