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  • If A is a square matrix of order 3 and Aij is the cofactor of the element aij, then value of <img alt="a_{21} A_{11} + a_{22 }A_{12} + a_{23} A_{13}" src="https://learn.careers360.com/latex-image/?a_%7B21%7D%20A_%7B11%7D%20&plus;%20a_%7B22%20%

If A is a square matrix of order 3 and Aij is the cofactor of the element aij, then value of a_{21} A_{11} + a_{22 }A_{12} + a_{23} A_{13} is ____________ .

 

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\\ a_{21} A_{11} + a_{22 }A_{12} + a_{23} A_{13} \\ = a_{21}(a_{22} . a_{33}-a_{23}.a_{32}) - a_{22}(a_{21}.a_{33}-a_{23}.a_{31})+a_{23}(a_{21}.a_{32}-a_{22}.a_{31}) = 0

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