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Q.

The system AX=B  of n  equation in n unknowns has infinitely many solutions, if

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a

det A≠0

b

(adj A)B≠O

c

det  A=0

d

(adj A)B=O

answer is C.

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Detailed Solution

X=A−1B ⇒X=(adj  A)B|A| Clearly, if the system has infinite solutions |A|=0  and  (adj  A)B=0
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