A) \[{{a}^{2}}I+{{b}^{2}}{{A}^{2}}\]
B) \[{{a}^{2}}I+2abA\]
C) \[{{a}^{2}}I+2abA+{{b}^{2}}\]
D) \[{{a}^{2}}I+{{b}^{2}}A\]
Correct Answer: B
Solution :
\[A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right],{{A}^{2}}=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right]\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right]=\left[ \begin{matrix} 0 & 0 \\ 0 & 0 \\ \end{matrix} \right]\] \[\therefore \] \[{{(aI+bA)}^{2}}={{a}^{2}}I+2abA\]
You need to login to perform this action.
You will be redirected in
3 sec
