Q.

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

answer is D.

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Detailed Solution

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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