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Let A=[(1,2,3),(2,0,5),(0,2,1)] and B=[(...

Let `A=[(1,2,3),(2,0,5),(0,2,1)]` and `B=[(0),(-3),(1)]`. Which of the following is true ?

A

`AX=B` has a unique solution

B

`AX=B` has exactly three solutions

C

`AX=B` has infinitelt many solutions

D

`AX=B` is inconsistent

Text Solution

Verified by Experts

The correct Answer is:
A
`|A|=1 (0-10)-2(2-0)+3(4-0)`
`=-10-4+12=-2`
`implies |A| ne 0`
`implies` Unique solution
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