Question Details

If the order of the matrix is m×n, then how many elements will there be in the matrix?

Options

A

mn

B

m²n²

C

mn²

D

2mn

Correct Answer :

mn

Solution :

The correct option is mn.

Step-by-step Explanation:

A matrix is a rectangular arrangement of numbers, symbols, or expressions in rows and columns. The size, dimension, or order of a matrix is commonly represented as:

m × n

Here, the order is defined by two variables:


m
represents the number of rows in the matrix.


n
represents the number of columns in the matrix.

Since the matrix has
m
rows and each row consists of
n
elements (one for each column), the total number of elements is obtained by multiplying the number of rows by the number of columns:

Total elements = m × n = m n

Thus, the matrix contains exactly mn elements.

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