How to Find Determinant of a Matrix in NumPy using np.linalg.det ?

This numpy code example is a guide to finding matrix determinants in NumPy with np.linalg.det to simplify complex computations. | ProjectPro

Determining the determinant of a matrix is a fundamental operation in linear algebra, playing a crucial role in various mathematical and scientific applications. NumPy, a powerful numerical computing library in Python, provides a convenient function for calculating the determinant of a matrix through np.linalg.det. This numpy code example will help you understand how to find determinant of a matrix in NumPy using np.linalg.det, as well as alternative methods to find the determinant without NumPy.

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How to Find the Determinant of a Matrix in NumPy?

NumPy simplifies the process of finding the determinant of a matrix using the np.linalg.det function. Check out the step-by-step guide below - 

Step 1 - Importing Library

    import numpy as np

We have only imported numpy which is needed.

Step 2 - Creating Matrix

We have created two matrices of which we will find determinants.

    matrixA = np.array([[1, 2, 3, 23],

                       [4, 5, 6, 25],

                       [7, 8, 9, 28],

                       [10, 11, 12, 41]])

    matrixB = np.array([[2, 3, 4],

                       [5, 6, 9],

                       [7, 8, 1]])

Step 3 - Finding determinant using np.linalg.det

We will finding determinant by using the function np.linalg.det to find the determinant of both the matrix - 

    print(np.linalg.det(matrixA))

    print(np.linalg.det(matrixB))

So the output comes as

-4.862776847858206e-15

33.99999999999999

How to Calculate Determinant of Matrix in Python without NumPy? 

While NumPy offers a convenient solution, you may encounter scenarios where using NumPy is not an option. In such cases, you can calculate the determinant without NumPy, especially for smaller matrices. One common approach is using basic arithmetic operations and loops.

Here's an example of how to find the determinant of a matrix in Python without NumPy:

python matrix determinant without numpy

It is important to substitute the elements of your matrix for a11, a12, etc. This method, however, becomes impractical for larger matrices, highlighting the advantages of using NumPy for efficiency.

Example - How to Find Determinant of 3x3 Matrix in Python without NumPy? 

Let's take a practical example to calculate the determinant of a 3x3 matrix without using NumPy.

Consider the matrix:

find determinant without NumPy

Using the custom function determinant_3x3 as defined above:

This will output the determinant of the provided matrix.

How to find determinant of 3x3 matrix in python without NumPy

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