Matrices are used for representing a mathematical object, it makes our calculations easy.
For example, $A = \begin{bmatrix}2 & 1\\ 5 & 8 \end{bmatrix}$ is matrix with 4 elements.
Here $a_{11}$=2, $a_{12}$=1, $a_{21}$=5, and $a_{22}$=8.
The whole matrix can also be represented as
[$a_{ij}$]
where
i $\rightarrow$ row index
j $\rightarrow$ column index.
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