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If a system of three linear equations in three unknowns which is in the matrix equation form of AX=D,is inconsistent, thenrank  of  Arank  of  [AD] is

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a
Greater than or equal to one
b
one
c
Greater than one
d
Less than one

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detailed solution

Correct option is D

Since A is a submatrix of the matris AD, we have rank A≤rank AD. Since the system AX=D is inconsistent, we must have rank A≠rank AD ⇒rank A


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