If |A| = 0 and (adj A)B = O, the system of equations AX = B:

If |A| = 0 and (adj A)B = O, the system of equations AX = B:

• A. Has a unique solution
• B. Is always inconsistent
• C. May be consistent (infinite solutions) or inconsistent
• D. Has exactly two solutions

Answer: C) May be consistent (infinite solutions) or inconsistent

Explanation: When both |A| = 0 and (adj A)B = O, the system could either represent overlapping planes (infinite solutions) or parallel planes depending on further constraints.