Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

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 :

Options:

n ×m

m × m

n × n

m × n

Correct Answer:

n ×m

Explanation:

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) = $n×m$