X and Y are non-zero square matrices of size n n...

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X and Y are non-zero square matrices of size n × n. If XY = 0_{n × n} then

A. |X| = 0 and |Y| ≠ 0

B. |X| ≠ 0 and |Y| = 0

C. |X| = 0 and |Y| = 0

D. |X| ≠ 0 and |Y| ≠ 0

Answer: Option C

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