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# Compute the condition number of a given matrix using NumPy

• Last Updated : 29 Aug, 2020

In this article, we will use the cond() function of the NumPy package to calculate the condition number of a given matrix. cond() is a function of linear algebra module in NumPy package.

Syntax:

`numpy.linalg.cond(x, p=None)`

Example 1: Condition Number of 2X2 matrix

## Python3

 `# Importing library``import` `numpy as np`` ` `# Creating a 2X2 matrix``matrix ``=` `np.array([[``4``, ``2``], [``3``, ``1``]])`` ` `print``(``"Original matrix:"``)``print``(matrix)`` ` `# Output``result ``=`  `np.linalg.cond(matrix)`` ` `print``(``"Condition number of the matrix:"``)``print``(result)`

Output:

```Original matrix:
[[4 2]
[3 1]]
Condition number of the matrix:
14.933034373659256
```

Example 2: Condition Number of 3X3 matrix

## Python3

 `# Importing library``import` `numpy as np`` ` `# Creating a 3X3 matrix``matrix ``=` `np.array([[``4``, ``2``, ``0``], [``3``, ``1``, ``2``], [``1``, ``6``, ``4``]])`` ` `print``(``"Original matrix:"``)``print``(matrix)`` ` `# Output``result ``=`  `np.linalg.cond(matrix)`` ` `print``(``"Condition number of the matrix:"``)``print``(result)`

Output:

```Original matrix:
[[4 2 0]
[3 1 2]
[1 6 4]]
Condition number of the matrix:
5.347703616656448
```

Example 3: Condition Number of 4X4 matrix

## Python3

 `# Importing library``import` `numpy as np`` ` `# Creating a 4X4 matrix``matrix ``=` `np.array([[``4``, ``1``, ``4``, ``2``], [``3``, ``1``, ``2``, ``0``], ``                   ``[``3``, ``5``, ``7` `,``1``], [``0``, ``6``, ``8``, ``4``]])`` ` `print``(``"Original matrix:"``)``print``(matrix)`` ` `# Output``result ``=`  `np.linalg.cond(matrix)`` ` `print``(``"Condition number of the matrix:"``)``print``(result)`

Output:

```Original matrix:
[[4 1 4 2]
[3 1 2 0]
[3 5 7 1]
[0 6 8 4]]
Condition number of the matrix:
57.34043866386226
```

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