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If A=[(3,2,4),(1,2,1),(3,2,6)] and A(ij)...

If `A=[(3,2,4),(1,2,1),(3,2,6)]` and `A_(ij)` are the cofactors of `a_(ij)`, then `a_(11)A_(11)+a_(12)A_(12)+a_(13)A_(13)` is equal to

A

8

B

6

C

4

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
`a_(11)A_(11)+a_(12)A_(12)+a_(13)A_(13)`
`=3|{:(2,1),(2,6):}|-2|{:(1,1),(3,6):}|+4|{:(1,2),(3,2):}|`
`=3(12-2)-2(6-3)+4(2-6)`
`=30-6-16`
`=8`
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