If a matrix A has m number of rows and n number of columns, then the order of the matrix A is (Number of rows)×(Number of columns) that is, m×n .We read m×n as m cross n or m by n. It may be noted that m×n is not a product of m and n.

**Order of a Matrix**

If a matrix *A* has *m* number of rows and *n*
number of columns, then the order of the matrix A is (Number of rows)×(Number
of columns) that is, *m*×*n* .We read *m*×*n* as *m*
cross *n* or *m* by *n*. It may be noted that* m*×*n *is
not a product of* m *and *n*.

General form of a matrix *A* with *m* rows and *n *columns
(order* m*×*n *) can be written in the* *form

where, *a*_{11} , *a*_{12},... denote
entries of the matrix. *a*_{11}* *is the element in first
row, first column,* a*_{12}* *is* *the element in the
first row, second column, and so on.

In general, *a _{ij}* is the element in the

With this notation, we can express the matrix *A* as *A*
= (*a _{ij}* )

The total number of entries in the matrix *A* = (*a _{ij}*
)

**Note**

When giving the order of a matrix, you should always mention the
number of rows** **first, followed by the number of columns.

For example,

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10th Mathematics : UNIT 3 : Algebra : Order of a Matrix |

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