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If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U...

If `A= ((1,0,0),(2,1,0),(3,2,1)), U_(1), U_(2), and U_(3)` are column matrices
satisfying `AU_(1) =((1),(0),(0)), AU_(2) = ((2),(3),(0))and AU_(3) = ((2),(3),(1))` and
`U` is `3xx3` matrix when columns are`U_(1), U_(2), U_(3)` then
answer the following questions
The value of (3 2 0) `U((3),(2),(0))` is

A

(a) 5

B

`5//2`

C

4

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
A
The value of
`((3,2,0))U((3),(2),(0))= ((3,2,0))((1,2,2),(-2,-1,-1),(1,-6,-3))((3),(2),(0))`
`((-1,4,4))((3),(2),(0))`
`=(-3+8+0)=5`
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