Unlock the Power of Matrix Multiplication in C++
Getting Started with the Basics
To tackle this example, you’ll need a solid grasp of fundamental C++ concepts, including:
- arrays
- multidimensional arrays
- passing arrays to functions
- looping structures (for, while, and do…while)
A Matrix Multiplication Program Like No Other
Imagine a program that asks users to input the size of a matrix, comprising rows and columns. Next, it prompts users to enter the elements of two separate matrices. Finally, it multiplies these matrices and displays the result in a seamless operation.
The Magic Happens with Three Essential Functions
To achieve this feat, our program relies on three crucial functions:
- Gathering Matrix Elements from UsersThis function collects input from users, ensuring that the matrices are populated with the correct data.
void getMatrixElements(int** matrix, int rows, int cols) { for (int i = 0; i < rows; i++) { for (int j = 0; j < cols; j++) { std::cin >> matrix[i][j]; } } }
- Multiplying Two MatricesThis function performs the actual matrix multiplication, leveraging C++’s powerful arithmetic capabilities.
void multiplyMatrices(int** matrixA, int** matrixB, int** result, int rowsA, int colsA, int colsB) { for (int i = 0; i < rowsA; i++) { for (int j = 0; j < colsB; j++) { for (int k = 0; k < colsA; k++) { result[i][j] += matrixA[i][k] * matrixB[k][j]; } } } }
- Displaying the Resultant MatrixThis function showcases the resulting matrix, providing users with a clear and concise output.
void displayMatrix(int** matrix, int rows, int cols) { for (int i = 0; i < rows; i++) { for (int j = 0; j < cols; j++) { std::cout << matrix[i][j] << " "; } std::cout << std::endl; } }
Experience the Power of Matrix Multiplication
Take a look at the example output below to see the program in action:
Enter the number of rows for matrix A: 2
Enter the number of columns for matrix A: 3
Enter elements of matrix A:
1 2 3
4 5 6
Enter the number of rows for matrix B: 3
Enter the number of columns for matrix B: 2
Enter elements of matrix B:
7 8
9 10
11 12
Resultant Matrix:
58 64
139 154
With these essential functions working in harmony, you’ll be able to harness the full potential of matrix multiplication in C++.