# 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 linalg.matrix_rank(). In this program I’m importing numpy as 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.