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If U={:[(1,2,2),(-2,-1,-1),(1,-4,-3)]:}'...

If `U={:[(1,2,2),(-2,-1,-1),(1,-4,-3)]:}' ,sum of elements of inverse of U is

A

-1

B

0

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`U={:[(1,2,2),(-2,-1,-1),(1,-4,-3)]and absU=3:}`
`:. U^(-1) =1/absU adj U =1/3 {:[(-1,-2,0),(-7,-5,-3),(9,6,3)]:}`
`:. " Sum of the elements of "U^(-1)`
`=1/3(-1-2 +0-7-5-3+9+6+3)=0`
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Section I - Solved Mcqs
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