How to Determine the Order of Matrix?
Order of the matrix is determined by the number of rows and columns present in the matrix. For example, if a matrix has “m” rows and “n” columns, then the order of the matrix is said to be “m × n.” Now, let us look at some examples to understand the concept better.
We can see that the matrix P has 1 row and 4 columns. So, the order of the matrix P is written as “1 × 4.”
We can see that the matrix Q has 2 rows and 3 columns. So, the order of the matrix Q is written as “2 × 3.”
We can see that the matrix R has 3 rows and 3 columns. So, the order of the matrix R is written as “3 × 3.”
Note: If a matrix has “mn” elements, then the product of m and n can be written in more than one way, i.e., 1 × mn, m × n, n × m, mn × 1. So, if a matrix has “mn” elements, then the order of the matrix can be written in different ways for the given number of elements.
Order of Matrix
Order of the matrix defines the number of rows and columns that a matrix has. In a matrix, data is arranged as an array of elements. This data is arranged in rows and columns, and the number of rows and columns any matrix has defines the Order of the matrix. Suppose any matrix has 5 rows and 3 columns then the order of the matrix is 5×3.
In this article, we will learn about the order of matrices in detail.
Table of Content
- What is Order of Matrix?
- How to Determine the Order of Matrix?
- Type of Matrices Based on Order of Matrix
- Important Points on Order of Matrix
- Solved Examples
- FAQs