sLet \[A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} a & 0 \\ 0 & b \\ \end{matrix} \right]\] where a, b are natural numbers, then which one of the following is correct?

There cannot exist any B such that AB = BA

There exist more than one but finite number of B's such that AB = BA

There exists exactly one B such that AB = BA

There exist infinitely many B's such that AB=BA

sLet \[A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{ma

1.	sLet \[A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} a & 0 \\ 0 & b \\ \end{matrix} \right]\] where a, b are natural numbers, then which one of the following is correct?
A.	There exist more than one but finite number of B's such that AB = BA
B.	There exists exactly one B such that AB = BA
C.	There exist infinitely many B's such that AB=BA
D.	There cannot exist any B such that AB = BA
Answer» D. There cannot exist any B such that AB = BA

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sLet \[A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} a & 0 \\ 0 & b \\ \end{matrix} \right]\] where a, b are natural numbers, then which one of the following is correct?

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