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For a matrix , A = [{:(1, 0, 0),(2, 1, 0...

For a matrix , A `= [{:(1, 0, 0),(2, 1, 0),(3,2,1):}]` , if `U_(1), U_(2) and U_(3)` are `3xx 1 ` column matrices satisfying
`AU_(1) = [{:(1),(0),(0):}], AU_(2) = [{:(2),(3),(0):}], AU_(3) = [{:(2),(3),(1):}]` and U is a `3xx 3`
matrix whose columns are `U_(1) , U_(2)` and `U_(3)` . then sum of the element of `U^(-1)` is

A

6

B

0

C

1

D

2`//`3

Text Solution

Verified by Experts

The correct Answer is:
B
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