Q. 53.7( 27 Votes )

# If and A_{ij} is Cofactors of a_{ij}, 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}

Answer :

Δ =

Expanding along Column 1

Δ =

Δ = a_{11}A_{11} + a_{21}A_{21} + a_{31}A_{31}

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