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प्रश्न
If \[A = \begin{vmatrix}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{vmatrix}\] and Cij is cofactor of aij in A, then value of |A| is given
विकल्प
a11 C31 + a12 C32 + a13 C33
a11 C11 + a12 C21 + a13 C31
a21 C11 + a22 C12 + a23 C13
a11 C11 + a21 C21 + a13 C31
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उत्तर
(d) a11 C11 + a21 C21 + a13 C31
Properties of determinants state that if A is a square matrix of the order n, then Det (A) is the sum of products of elements of a row (or a column) with the corresponding cofactor of that element.
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