PHP Program to Perform Matrix Division

Posted in PHP Tutorial

Updated on Nov 22, 2024

By Mari Selvan

👁️ 44 - Views

⏳ 4 mins

💬 1 Comment

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 php program that performs matrix division, providing a foundational understanding of how to handle matrices in a programming context.

📄 Example

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

matrixDivision.php

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<?php
// Function to print a matrix
function printMatrix($matrix)
{
  foreach ($matrix as $row)
  {
    foreach ($row as $value)
    {
      echo number_format($value, 2) . "\t";
    }
    echo PHP_EOL;
  }
}

// Function to perform matrix division
function matrixDivision($matrixA, $matrixB)
{
  $result = [];

  // Check if matrixB is invertible
  // Additional logic for inverse calculation is required here
  // Perform matrix division
  foreach ($matrixA as $i => $rowA)
  {
    foreach ($rowA as $j => $valueA)
    {
      $result[$i][$j] = $valueA / $matrixB[$i][$j];
    }
  }

  // Print the result
  echo "Result of matrix division:" . PHP_EOL;
  printMatrix($result);
}

// Driver program
// Define matrices A and B
$matrixA = [[4.0, 8.0], [2.0, 6.0]];
$matrixB = [[2.0, 4.0], [1.0, 3.0]];

// Call the function to perform matrix division
matrixDivision($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 defines a function printMatrix to print a matrix for better visualization.
The matrixDivision function checks if matrix B is invertible (additional logic for inverse calculation is required).
It performs matrix division element-wise 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.