If Δ∣∣∣∣a11a12a13a21a22a23a31a32a33∣∣∣∣ and Aij is c

1.	If Δ∣∣∣∣a11a12a13a21a22a23a31a32a33∣∣∣∣ and Aij is cofactor of aij, then value of Δ is given by a) a11A31+a12A32+a13A33 b) a11A11+a12A21+a13A31 c) a21A11+a22A12+a23A13 d) a11A11+a21A21+a31A31
Answer» If $Δ ∣ ∣∣ ∣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ∣ ∣∣ ∣$ and $A_{i j}$ is cofactor of $a_{i j}$ , then value of $Δ$ is given by a) $a_{11} A_{31} + a_{12} A_{32} + a_{13} A_{33}$ b) $a_{11} A_{11} + a_{12} A_{21} + a_{13} A_{31}$ c) $a_{21} A_{11} + a_{22} A_{12} + a_{23} A_{13}$ d) $a_{11} A_{11} + a_{21} A_{21} + a_{31} A_{31}$

If Δ∣∣∣∣a11a12a13a21a22a23a31a32a33∣∣∣∣ and Aij is cofactor of aij, then value of Δ is given by a) a11A31+a12A32+a13A33 b) a11A11+a12A21+a13A31 c) a21A11+a22A12+a23A13 d) a11A11+a21A21+a31A31

Answer»

If $Δ ∣ ∣∣ ∣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ∣ ∣∣ ∣$ and $A_{i j}$ is cofactor of $a_{i j}$ , then value of $Δ$ is given by

a) $a_{11} A_{31} + a_{12} A_{32} + a_{13} A_{33}$
b) $a_{11} A_{11} + a_{12} A_{21} + a_{13} A_{31}$
c) $a_{21} A_{11} + a_{22} A_{12} + a_{23} A_{13}$
d) $a_{11} A_{11} + a_{21} A_{21} + a_{31} A_{31}$

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If Δ∣∣∣∣a11a12a13a21a22a23a31a32a33∣∣∣∣ and Aij is cofactor of aij, then value of Δ is given by a) a11A31+a12A32+a13A33 b) a11A11+a12A21+a13A31 c) a21A11+a22A12+a23A13 d) a11A11+a21A21+a31A31

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