Python Program to Perform Matrix Division

Posted in Python Tutorial

Updated on Oct 31, 2024

By Mari Selvan

👁️ 99 - Views

⏳ 4 mins

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Python Program to Perform Matrix Division

Photo Credit to CodeToFun

🙋 Introduction

Matrix operations are fundamental in linear algebra and various scientific and engineering applications. One essential matrix operation is division.

In this tutorial, we'll explore a python program that performs matrix division, providing a foundational understanding of how to handle matrices in a programming context.

📄 Example

Let's delve into the python code that performs matrix division.

matrix_division.py

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import numpy as np

# Function to perform matrix division
def matrix_division(matrixA, matrixB):
    try:
        # Check if matrixB is invertible
        np.linalg.inv(matrixB)
    except np.linalg.LinAlgError:
        print("Matrix B is not invertible.")
        return

    # Perform matrix division
    result = np.divide(matrixA, matrixB)

    # Print the result
    print("Result of matrix division:\n", result)

# Driver program
if __name__ == "__main__":
    # Define matrices A and B
    matrixA = np.array([[4.0, 8.0], [2.0, 6.0]])
    matrixB = np.array([[2.0, 4.0], [1.0, 3.0]])

    # Call the function to perform matrix division
    matrix_division(matrixA, matrixB)

💻 Testing the Program

To test the program with different matrices, replace the values of matrixA and matrixB in the main function.

Output

Result of matrix division:
2.00   2.00
2.00   2.00

Run the program to see the result of matrix division.

🧠 How the Program Works

The program uses the NumPy library, a powerful library for numerical operations in Python.
The matrix_division function checks if matrix B is invertible using np.linalg.inv(matrixB).
It performs matrix division element-wise using np.divide and prints the result.

🧐 Understanding the Concept of Matrix Division

Matrix division is not a straightforward operation like addition or multiplication.

Matrix division involves multiplying one matrix by the inverse of another. Ensure that the second matrix is invertible, and additional logic for inverse calculation may be required.

For two matrices A and B, the division A/B is equivalent to A * B^(-1), where B^(-1) is the inverse of matrix B.