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Evaluate: =|(10 !, 11 !, 12 !), (11 !, 1...

Evaluate: =`|(10 !, 11 !, 12 !), (11 !, 12 !, 13 !), (12 !, 13 !, 14 !)|`

A

`2(10! 11!)`

B

`2(10! 13!)`

C

`2(10! 11! 12!)`

D

`2(11 ! 12! 13!)`

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`|(10!,11!,12!),(11!,12!,13!),(12!,13!,14!)|`
`= 10! xx 11! xx12! |(1,11,132),(1,12,156),(1,13,182)|`
`= 10! xx 11! xx 12! |(1,11,132),(0,1,24),(0,1,26)|[("Applying " R_(2) rarr R_(2)- R_(1)),(" "R_(3) rarr R_(3) - R_(2))]`
`= 2 (10! xx 11! xx 12!)`
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