The value of determinant |A||, of matrix A=[aij] of order 3×3, is given to be 5.
The value of determinant written in the form of cofactors is equal to the sum of products of elements of that row (or column) multiplied by their corresponding cofactors.
The value of |A| expanded along row 3 will be
|A|= a31×C31+a32×C32+a33×C33, which is the required expression
Hence, the value of required expression is equal to |A|=5.
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