 # Matrix Multiplication In Java

### It shows how to multiply two matrices in Java. It provides the program to perform multiplication on two matrices.

April 16, 2021

This tutorial provides the Matrix Multiplication program in Java to multiply two matrices using multi-dimensional arrays.

### Steps required to Multiply the Matrices

Step 1 - Construct the two arrays to store the values of the matrices.

Step 2 - Make sure that the matrices are compatible with each other i.e. the number of rows in the first matrix is equal to the columns in the second matrix and the number of columns in the first matrix is equal to the number of rows in the second matrix.

Step 3 - Create the resultant matrix having rows equal to the rows of the first matrix and columns equal to the columns of the second matrix.

Step 4 - Traverse each element of the two matrices and multiply them and store the result in the resultant matrix.

### The Program and Result - Three Rows & Three Columns

Below mentioned is the program to multiply two matrices in Java using three rows and three columns.

`public class MatrixMultiplication {	public static void main( String args[] ) {  		// Declare and Construct the matrices		// three rows and three columns		int matrixA[][] = { {1,5,2}, {2,1,3}, {4,2,1} };		int matrixB[][] = { {2,3,6}, {4,6,8}, {3,6,1} };		// Declare and Construct the resultant matrix		// three rows and three columns		int result[][] = new int;		// Outer Loop    		for( int i = 0; i < 3; i++ ) {						// Inner Loop			for( int j = 0; j < 3; j++ ) {				result[ i ][ j ] = 0;				// Multiplication				for( int k = 0; k < 3; k++ ) {					result[ i ][ j ] += matrixA[ i ][ k ] * matrixB[ k ][ j ];				}								// Print				System.out.print( result[ i ][ j ] + " " );  			}			System.out.println();		}	}}`

The result of the multiplication is shown below.

`// Result28 45 48 17 30 23 19 30 41`

### The Program and Result - N Rows & M Columns

Below mentioned is the program to multiply two matrices in Java using n rows and m columns.

`public class MatrixMultiplication {	public static void main( String args[] ) {  		int rows1 = 2;		int cols1 = 3;		int rows2 = 3;		int cols2 = 2;		// Declare and Construct the matrices		int matrixA[][] = { {1,5,2}, {2,1,3} };		int matrixB[][] = { {2,3}, {4,6}, {3,6} };		// Declare and Construct the resultant matrix		int result[][] = new int[ rows1 ][ cols2 ];		// Outer Loop    		for( int i = 0; i < rows1; i++ ) {						// Inner Loop			for( int j = 0; j < cols2; j++ ) {				result[ i ][ j ] = 0;				// Multiplication				for( int k = 0; k < rows2; k++ ) {					result[ i ][ j ] += matrixA[ i ][ k ] * matrixB[ k ][ j ];				}								// Print				System.out.print( result[ i ][ j ] + " " );  			}			System.out.println();		}	}}`

The result of the multiplication is shown below.

`// Result28 45 17 30`

### Summary

This tutorial provided the program to multiply two matrices in java using multi-dimensional arrays.

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