Program to concatenate two given Matrices of same size
Given two matrices A and B of size M x N, the task is to concatenate them into one matrix.
Concatenation of matrix: The process of appending elements of every row of the matrix one after the other is known as the Concatenation of matrix.
Examples:
Input:
A[][] = {{1, 2},
{3, 4}},
B[][] = {{5, 6},
{7, 8}}
Output:
1 2 5 6
3 4 7 8
Explanation:
Elements of every row of the matrix B
is appended into the row of matrix A.
Input:
A[][] = {{2, 4},
{3, 4}}
B[][] = {{1, 2},
{1, 3}}
Output:
2 4 1 2
3 4 1 3
Approach: The idea is to declare a matrix of size N x 2*M, then traverse over matrix A and store the elements in the first half of the matrix and then similarly iterate over matrix B and store the elements in another half of the matrix with the help of the below formulae:
// For filling the // first half of matrix matrix[i][j] = A[i][j] // For filling the // second half of matrix matrix[i][j+N] = A[i][j + N]
Below is the implementation of the above approach:
C++
// C++ implementation to concatenate // two matrices of size N x M #include <bits/stdc++.h> using namespace std; #define M 2 #define N 2 // Function to concatenate two // matrices A[][] and B[][] void mergeMatrix(int A[M][N], int B[M][N]) { // Matrix to store // the result int C[M][2 * N]; // Merge the two matrices for (int i = 0; i < M; i++) { for (int j = 0; j < N; j++) { // To store elements // of matrix A C[i][j] = A[i][j]; // To store elements // of matrix B C[i][j + N] = B[i][j]; } } // Print the result for (int i = 0; i < M; i++) { for (int j = 0; j < 2 * N; j++) cout << C[i][j] << " "; cout << endl; } } // Driven Code int main() { int A[M][N] = { { 1, 2 }, { 3, 4 } }; int B[M][N] = { { 5, 6 }, { 7, 8 } }; // Find the merge of // the 2 matrices mergeMatrix(A, B); return 0; } |
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Java
// Java implementation to concatenate // two matrices of size N x M class GFG{ static final int M = 2; static final int N = 2; // Function to concatenate two // matrices A[][] and B[][] static void mergeMatrix(int A[][], int B[][]) { // Matrix to store // the result int [][]C = new int[M][2 * N]; // Merge the two matrices for(int i = 0; i < M; i++) { for(int j = 0; j < N; j++) { // To store elements // of matrix A C[i][j] = A[i][j]; // To store elements // of matrix B C[i][j + N] = B[i][j]; } } // Print the result for(int i = 0; i < M; i++) { for(int j = 0; j < 2 * N; j++) System.out.print(C[i][j] + " "); System.out.println(); } } // Driven Code public static void main(String[] args) { int A[][] = { { 1, 2 }, { 3, 4 } }; int B[][] = { { 5, 6 }, { 7, 8 } }; // Find the merge of // the 2 matrices mergeMatrix(A, B); } } // This code is contributed by gauravrajput1 |
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Python3
# Python3 implementation to concatenate # two matrices of size N x M M = 2N = 2 # Function to concatenate two # matrices A[][] and B[][] def mergeMatrix(A, B): # Matrix to store # the result C = [[0 for j in range(2 * N)] for i in range(M)] # Merge the two matrices for i in range(M): for j in range(N): # To store elements # of matrix A C[i][j] = A[i][j] # To store elements # of matrix B C[i][j + N] = B[i][j] # Print the result for i in range(M): for j in range(2 * N): print(C[i][j], end = ' ') print() # Driver code if __name__=='__main__': A = [ [1, 2], [3, 4] ] B = [ [5, 6], [7, 8] ] # Find the merge of # the 2 matrices mergeMatrix(A, B) # This code is contributed by rutvik_56 |
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C#
// C# implementation to concatenate // two matrices of size N x M using System; class GFG{ const int M = 2; const int N = 2; // Function to concatenate two // matrices A[][] and B[][] static void mergeMatrix(int[,] A, int[,] B) { // Matrix to store // the result int[,] C = new int[M, 2 * N]; // Merge the two matrices for(int i = 0; i < M; i++) { for(int j = 0; j < N; j++) { // To store elements // of matrix A C[i, j] = A[i, j]; // To store elements // of matrix B C[i, j + N] = B[i, j]; } } // Print the result for(int i = 0; i < M; i++) { for(int j = 0; j < 2 * N; j++) Console.Write(C[i, j] + " "); Console.WriteLine(); } } // Driver code static void Main() { int[,] A = { { 1, 2 }, { 3, 4 } }; int[,] B = { { 5, 6 }, { 7, 8 } }; // Find the merge of // the 2 matrices mergeMatrix(A, B); } } // This code is contributed by divyeshrabadiya07 |
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Output:
1 2 5 6 3 4 7 8
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