If $A=\begin{bmatrix} 1 & 2\\3 &

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Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Algebra

Question:

If $A=\begin{bmatrix} 1 & 2\\3 & 4\end{bmatrix}, B=\begin{bmatrix}a & 0\\0 & b \end{bmatrix}; a, b \in N,$ then

Options:

There can't exist any B such that AB =BA

There exist more than one B, but finite in number when AB = BA

There exists exactly one B, when AB =BA

There exist infinite B, when AB =BA

Correct Answer:

There exist infinite B, when AB =BA