AP EAMCET · Maths · Matrices
If \(\mathrm{A}=\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]\) and \(\mathrm{B}=\left[\begin{array}{ll}x & 0 \\ 0 & y\end{array}\right], \mathrm{x}, \mathrm{y} \in \mathrm{N}\), then
- A There is exactly one such matrix \(B\) such that \(A B=I\)
- B There is no matrix \(\mathrm{B}\) such that \(\mathrm{AB}=\mathrm{BA}\)
- C There exist only a finite number of matrices \(B\) such that \(\mathrm{AB}=\mathrm{BA}\)
- D There exist infinite number of matrices \(B\) such that \(\mathrm{AB}=\mathrm{BA}\)
Answer & Solution
Correct Answer
(D) There exist infinite number of matrices \(B\) such that \(\mathrm{AB}=\mathrm{BA}\)
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