Question

State whether True or False - If $\left[a_{ij}\right]$ is an element of matrix A then it lies in $i^{th}$ row and $j^{th}$ column of the matrix.

• A. True
• B. False

Answer 1

The correct option is A

True

$a_{ij}$ a general element of the matrix. Now where does it lie in the matrix? To specify its location we need to know its row number and column number. For aij as per the convention those 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 the $i^{th}$ row and $j^{th}$ column.