A) \[{{A}^{2}}-{{B}^{2}}=(A+B)(A-B)\]
B) \[{{({{A}^{T}})}^{T}}=A\]
C) \[{{(AB)}^{n}}={{A}^{n}}{{B}^{n}},\]where A, B commute
D) \[(A-I)(I+A)=O\Leftrightarrow {{A}^{2}}=I\]
Correct Answer: A
Solution :
We have \[(A+B)(A-B)={{A}^{2}}-AB+BA-{{B}^{2}}\] \Option (a) is not true.
You need to login to perform this action.
You will be redirected in
3 sec
