This is the java implementation of multiplication of two matrices consisting of complex numbers. Complex numbers are of the form a+bi.
Here is the source code of the Java Program to Perform Complex Number Multiplication. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.
//This is a sample program to find the multiplication of two matrices consisting of complex numbers of any dimension import java.util.Scanner; public class Complex_Multiplication_Matrix { private double real=0.0, img=0.0; public Complex_Multiplication_Matrix(double real, double img) { this.real = real; this.img = img; } public Complex_Multiplication_Matrix() { this.real = 0; this.img = 0; } public Complex_Multiplication_Matrix complex_Form(double re, double im) { Complex_Multiplication_Matrix res = new Complex_Multiplication_Matrix(); res.real = re; res.img = im; return res; } public Complex_Multiplication_Matrix multiplication(Complex_Multiplication_Matrix C2) { Complex_Multiplication_Matrix Res = new Complex_Multiplication_Matrix(); Res.real = (this.real * C2.real) - (this.img * C2.img); Res.img = (this.real * C2.img) + (this.img * C2.real); return Res; } public Complex_Multiplication_Matrix addtion(Complex_Multiplication_Matrix C2) { Complex_Multiplication_Matrix Res = new Complex_Multiplication_Matrix(); this.real += C2.real; this.img += C2.img; Res.real = this.real; Res.img = this.img; return Res; } public Complex_Multiplication_Matrix[][] matrix_multiplication(Complex_Multiplication_Matrix[][] a, Complex_Multiplication_Matrix[][] b, Complex_Multiplication_Matrix[][] res, int n) { for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) res[i][j] = res[i][j].addtion(a[i][k].multiplication(b[k][j])); return res; } public static void main(String args[]) { Scanner sc = new Scanner(System.in); System.out.println("Enter the dimension of the square matrix: "); int n = sc.nextInt(); double re,im; Complex_Multiplication_Matrix[][] a = new Complex_Multiplication_Matrix[n][n]; Complex_Multiplication_Matrix[][] b = new Complex_Multiplication_Matrix[n][n]; Complex_Multiplication_Matrix[][] res = new Complex_Multiplication_Matrix[n][n]; Complex_Multiplication_Matrix C = new Complex_Multiplication_Matrix(); System.out.println("Enter the complex elements of 1st matrix: "); for(int i=0; i<n; i++) { for(int j=0; j<n; j++) { re = sc.nextDouble(); im = sc.nextDouble(); a[i][j] = C.complex_Form(re, im); } } System.out.println("Enter the complex elements of matrix: "); for(int i=0; i<n; i++) { for(int j=0; j<n; j++) { re = sc.nextDouble(); im = sc.nextDouble(); b[i][j] = C.complex_Form(re, im); } } for(int i=0; i<n; i++) { for(int j=0; j<n; j++) { re = 0.0; im = 0.0; res[i][j] = C.complex_Form(re, im); } } res = C.matrix_multiplication(a, b, res, n); System.out.println("The Multiplication is:"); for(int i=0; i<n; i++) { for(int j=0; j<n; j++) System.out.print(res[i][j].real+"+"+res[i][j].img+"i "); System.out.println(); } sc.close(); } }
Output:
$ javac Complex_Multiplication_Matrix.java $ java Complex_Multiplication_Matrix Enter the dimension of the square matrix: 2 Enter the complex elements of matrix: 1 2 1 2 1 2 1 2 Enter the complex elements of matrix: 1 2 1 2 1 2 1 2 The Multiplication is: -6.0+8.0i -6.0+8.0i -6.0+8.0i -6.0+8.0i
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