# Python Program to find rank of a Matrix

Hi Coder! In this article, we are going to learn to find the rank of a Matrix using Python.

Before we write the code let us know more about Rank of a Matrix.

## The rank of a Matrix

The rank of a Matrix refers to the **maximum number of linearly independent columns or rows** present in the Matrix.

We can say a row or a column is linearly independent if the row cannot be obtained by using the linear combinations of other rows.

Example:

2 3 4

4 6 8

6 9 12

In the above example, we can note that row2 can be obtained by multiplying row1 by 2 and row3 can be obtained by multiplying by 3. Therefore there is only one linearly independent row. So, we can say that the rank of the above matrix is 1.

## Find rank of a Matrix in Python

To find the rank of a matrix in Python we are going to make use of method * linalg.matrix_rank()* which is defined inside

**NumPy**Library. It returns the rank of a given matrix.

Let us first import * numpy* to get access to the method

*. In this program I’m importing*

**linalg.matrix_rank()***as*

**numpy***.*

**np**import numpy as np

Now, we are going to declare a matrix using the array data structure in **NumPy**. * numpy.array()* represents a matrix by storing the numerical values of the lists. Also, print the matrix row-wise to get a matrix format.

my_matrix = np.array([[1, 2, 1], [3, 4, 7], [3, 6, 3]]) print("Matrix") for row in my_matrix: print(row)

We can now calculate the rank of the matrix using * np.linalg.matrix_rank(my_matrix)*.

Finally, print the value of the rank of the matrix.

rank = np.linalg.matrix_rank(my_matrix) print("Rank of the given Matrix is : ",rank)

#### Output

Matrix [1 2 1] [3 4 7] [3 6 3] Rank of the given Matrix is : 2

Yahoo! In this article we have learned how to find the rank of a matrix in a simple way.

Thank You for reading the article. I hope this article helped you in some way.

Also do check out our other articles related to matrices below:

Multiplying two matrices using Python

Matrix Addition: Add Two Matrices of any Dimension using Python

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