Question

If every row of a matrix $A$ contains $p$ elements and its column contains $q$ elements, then the order of $A$ is

• A. $p\times p$
• B. $q\times q$
• C. $p\times q$
• D. $q\times p$

Answer 1

The correct option is D $q\times p$

Let us take an example with $p=2$ and $q=3$ then according to the question:
$A=\left[\begin{array}{cc}{a}_{11}& a_{12}\\ a_{21}& a_{22}\\ a_{31}& a_{32}\end{array}\right]$
Hence order of $A$ is $3\times 2$
Row contains $p$ elements
So number of columns $=p$
Each column contains $q$: element
So number of rows $=q$
Therefore, order $=q\times p$