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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

A

`a_(11)A_(31)+a_(12)+A_(32)+a_(12)A_(33)`

B

`a_(11)A_(11)+a_(12)+A_(21)+a_(13)A_(33)`

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)`

Text Solution

Verified by Experts

The correct Answer is:
B
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