If A is any m × n matrix and B is a matrix such that AB and BA are both defined, then B is a matrix of order :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $n ×m$
let order (B) = $p×a$
Order (A) = $m×n$
AB → defined ⇒ $n=p$
BA → defined ⇒ $m=a$
so order (B) = $n×m$