A) there cannot exist any B such that AB = BA.
B) there exist more than one but finite number of B's such that AB=BA.
C) there exists exactly one B such that AB = BA.
D) there exist infinitely many B's such that AB
Correct Answer: D
Solution :
\[A=\left( \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right),B=\left( \begin{matrix} a & 0 \\ 0 & b \\ \end{matrix} \right)\] Now, \[AB=BA\,\Rightarrow \] when a = bYou need to login to perform this action.
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