AP EAMCET · Maths · Matrices
Let \(M\) and \(N\) be two matrices over \(R\) of order 2. Then, \(M N=N M\) if .......
- A One of \(M\) and \(N\) is a diagonal matrix
- B Both \(M\) and \(N\) are diagonal matrices
- C Both \(M\) and \(N\) are invertible matrices
- D None of these options are true in general
Answer & Solution
Correct Answer
(B) Both \(M\) and \(N\) are diagonal matrices
Step-by-step Solution
Detailed explanation
Let \(M=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right), N=\left(\begin{array}{ll}p & q \\ r & s\end{array}\right)\) Then, \(\quad M N=\left(\begin{array}{ll}a p+b r & a q+b s \\ p c+d r & c q+d s\end{array}\right)\) and…
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