Question

If $\left[a_{ij}\right]$ is an element of matrix A then it lies in of the matrix

• A. $i^{th}$ row and $j^{th}$ column
• B. $j^{th}$ row and $j^{th}$ column
• C. $j^{th}$ row and $i^{th}$ column

Answer 1

The correct option is A $i^{th}$ row and $j^{th}$ column

$a_{ij}$ is a general element of the matrix. Now, where in the matrix it lies? To specify its location we need to know its row number and column number. For $a_{ij}$ as per the convention, row and column numbers are given by i and j only i.e., i is the row number and j is the column number. So, we can say that $a_{ij}$ is an element which lies in $i^{th}$ row and $j^{th}$ column.