A) \[AB=BA\]
B) \[{{(AB)}^{t}}={{A}^{t}}{{B}^{t}}\]
C) \[(A+B)(A-B)={{A}^{2}}-{{B}^{2}}\]
D) \[{{(AB)}^{-1}}={{B}^{-1}}{{A}^{-1}}\]
E) \[AB=-BA\]
Correct Answer: D
Solution :
Clearly, \[{{(AB)}^{-1}}={{B}^{-1}}{{A}^{-1}}\]
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