Algebra

Matrices & Determinants

Easy

If A is a matrix of order $m \times n$ and B is another matrix such that $A'B$ and $BA'$ are both defined, then the order of matrix B is

$m \times n$

$n \times m$

$m \times m$

$n \times n$

✅ Correct Option: 1

$A'$ has order $n \times m$ . For $A'B$ to be defined, B must have $m$ rows. For $BA'$ to be defined (B times $n \times m$ ), B must have $n$ columns. Hence B is of order $m \times n$ .

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If A is a matrix of order m×nm \times nm×n and B is another matrix such that A′BA'BA′B and BA′BA'BA′ are both defined, then the order of matrix B is

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CUET Mathematics Past Year Questions (Topic-Wise)

If A is a matrix of order $m \times n$ and B is another matrix such that $A'B$ and $BA'$ are both defined, then the order of matrix B is