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If Delta=|a(11)a(12)a(13)a(21)a(22)a(23)...

If `Delta=|a_(11)a_(12)a_(13)a_(21)a_(22)a_(23)a_(31)a_(32)a_(33)|` and `A_(i j)` is cofactors of `a_(i j)` , then value of `Delta` 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

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Correct Answer - (d)
We know that the value of a determinant is equal to the sum of the product
of the elements of a row or column and their corresponding cofactors.
`Δ=a_(11)A_(11)+a_(21)A_(21)+a_(31)A_(31)`
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If Delta=|[a_(11),a_(12),a_(13)],[a_(21),a_(22),a_(23)],[a_(31),a_(32),a_(33)]| and A_(i j) is cofactors of a_(i j) , then value of Delta 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 A=[{:(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33)):}] and A_(ij) is co-factos of a_(ij) , then A is given by :

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Find minors and cofactors of the elements of the determinant det[[2,-3,56,0,41,5,-7]]a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)=0

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