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Let AX =D be a system of three linear no...

Let `AX =D` be a system of three linear non-homogeneous equations. If `|A|=0` and rank `(A) =` rank `([AD])=alpha`, then

A

`AX=D` will have infinite number of solutions when `alpha=3`

B

`AX=D` will have unique solution when `alpha lt 3`

C

`AX =D` will have infinite number of solution when `alpha lt 3`

D

`AX =D` will have no solution when `alpha lt 3`

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The correct Answer is:
C
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