Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A is a matrix of order $m×n$ and B is a matrix such that AB' such that B'A are defined, the order of matrix B is :

Options:

$n×n$

$n×m$

$m×n$

$m×m$

Correct Answer:

$m×n$

Explanation:

The correct answer is Option (3) → $m×n$

Let $B = B_{p×q}⇒B'=B'_{q×p}$

$A=A_{m×n}$

if $AB'$ is defined then $n=q$

So $B'A$ is defined then $p=m$

So order of B is $m×n$