Question:
If $A$ and $B$ are two nonzero square matrices of the same order such that $A B=0$ then
A. $|A|=0$ or $|B|=0$
B. $|A|=0$ and $|B|=0$
C. $|A| \neq 0$ and $|B| \neq 0$
D.None of these
Solution:
If $A$ and $B$ are two nonzero square matrices of the same order such that $A B=0$ then
A. $|A|=0$ or $|B|=0$
B. $|A|=0$ and $|B|=0$
C. $|A| \neq 0$ and $|B| \neq 0$
D.None of these