JavaScript Program to Perform Matrix Multiplication

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🙋 Introduction

Matrix multiplication is a fundamental operation in linear algebra and computer science. It involves multiplying two matrices to produce a third matrix.

In this tutorial, we will explore a javascript program that performs matrix multiplication.

We'll break down the logic step by step and provide a sample implementation.

📄 Example

Let's dive into the javascript code that performs matrix multiplication.

multiplyMatrices.js

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// Function to perform matrix multiplication
function multiplyMatrices(firstMatrix, secondMatrix) {
  const result = [];

  const m = firstMatrix.length; // Number of rows in the first matrix
  const n = firstMatrix[0].length; // Number of columns in the first matrix
  const p = secondMatrix[0].length; // Number of columns in the second matrix

  // Initialize the result matrix with zeros
  for (let i = 0; i < m; ++i) {
    result[i] = Array(p).fill(0);
  }

  // Perform matrix multiplication
  for (let i = 0; i < m; ++i) {
    for (let j = 0; j < p; ++j) {
      for (let k = 0; k < n; ++k) {
        result[i][j] += firstMatrix[i][k] * secondMatrix[k][j];
      }
    }
  }

  return result;
}

// Function to display a matrix
function displayMatrix(matrix) {
  for (let i = 0; i < matrix.length; ++i) {
    console.log(matrix[i].join('\t'));
  }
}

// Sample input matrices (3x3)
const firstMatrix = [
  [1, 2, 3],
  [4, 5, 6],
  [7, 8, 9]
];

const secondMatrix = [
  [9, 8, 7],
  [6, 5, 4],
  [3, 2, 1]
];

// Call the function to perform matrix multiplication
const resultMatrix = multiplyMatrices(firstMatrix, secondMatrix);

// Display the matrices
console.log("First Matrix:");
displayMatrix(firstMatrix);

console.log("\nSecond Matrix:");
displayMatrix(secondMatrix);

console.log("\nResult Matrix:");
displayMatrix(resultMatrix);

💻 Testing the Program

Feel free to replace the sample matrices with your own 3x3 matrices in the main function to test the program with different input.

First Matrix:
1   2   3
4   5   6
7   8   9

Second Matrix:
9   8   7
6   5   4
3   2   1

Result Matrix:
30   24   18
84   69   54
138  114  90

Run the program to see the result of the matrix multiplication.

🧠 How the Program Works

1. The program defines a function multiplyMatrices that takes two matrices (firstMatrix and secondMatrix) and computes their product, returning the result.
2. It initializes the result matrix with zeros and uses three nested loops to perform the matrix multiplication.
3. The displayMatrix function is used to display the contents of a matrix.
4. Sample input matrices are provided, and the program calls the multiplication function.
5. The program then displays the original matrices and the result matrix.

🧐 Understanding the Concept of Matrix Multiplication

Matrix multiplication is defined as follows: given two matrices A (of dimensions m x n) and B (of dimensions n x p), the product matrix C (of dimensions m x p) is obtained by multiplying each element of a row in matrix A by the corresponding element of a column in matrix B and summing up the results.

🎉 Conclusion

Matrix multiplication is a powerful operation used in various fields, including graphics, physics simulations, and machine learning.

Understanding the logic behind matrix multiplication and implementing it in javascript provides a foundational understanding of linear algebra in computer science.

Feel free to experiment with different matrix sizes and values to further explore the capabilities of this program. Happy coding!

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Author

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For over eight years, I worked as a full-stack web developer. Now, I have chosen my profession as a full-time blogger at codetofun.com.

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