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

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ctaimg
a
det A≠0
b
(adj A)B≠O
c
det  A=0
d
(adj A)B=O
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detailed solution

Correct option is C

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


ctaimg

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