I'm trying to make a simple matrix multiplication method using multidimensional arrays ([2][2]). I'm kinda new at this, and I just can't find what it is I'm doing wrong. I'd really appreciate any help in telling me what it is. I'd rather not use libraries or anything like that, I'm mostly doing this to learn how it works. Thank you so much in advance.

I'm declaring my arays in the main method as follows:

Double[][] A={{4.00,3.00},{2.00,1.00}}; 
Double[][] B={{-0.500,1.500},{1.000,-2.0000}};

A*B should return the identity matrix. It doesn't.

public static Double[][] multiplicar(Double[][] A, Double[][] B){
//the method runs and returns a matrix of the correct dimensions
//(I actually changed the .length function to a specific value to eliminate 
//it as a possible issue), but not the correct values

    Double[][] C= new Double[2][2];
    int i,j;

    ////I fill the matrix with zeroes, if I don't do this it gives me an error
    for(i=0;i<2;i++) {
        for(j=0;j<2;j++){
            C[i][j]=0.00000;
        }
    } 
    ///this is where I'm supposed to perform the adding of every element in
    //a row of A multiplied by the corresponding element in the
    //corresponding column of B, for all columns in B and all rows in A
    for(i=0;i<2;i++){
        for(j=0;j<2;j++)
            C[i][j]+=(A[i][j]*B[j][i]);
    }
    return C;
}

You can try this code:

public class MyMatrix {
    Double[][] A = { { 4.00, 3.00 }, { 2.00, 1.00 } };
    Double[][] B = { { -0.500, 1.500 }, { 1.000, -2.0000 } };

    public static Double[][] multiplicar(Double[][] A, Double[][] B) {

        int aRows = A.length;
        int aColumns = A[0].length;
        int bRows = B.length;
        int bColumns = B[0].length;

        if (aColumns != bRows) {
            throw new IllegalArgumentException("A:Rows: " + aColumns + " did not match B:Columns " + bRows + ".");
        }

        Double[][] C = new Double[aRows][bColumns];
        for (int i = 0; i < aRows; i++) {
            for (int j = 0; j < bColumns; j++) {
                C[i][j] = 0.00000;
            }
        }

        for (int i = 0; i < aRows; i++) { // aRow
            for (int j = 0; j < bColumns; j++) { // bColumn
                for (int k = 0; k < aColumns; k++) { // aColumn
                    C[i][j] += A[i][k] * B[k][j];
                }
            }
        }

        return C;
    }

    public static void main(String[] args) {

        MyMatrix matrix = new MyMatrix();
        Double[][] result = multiplicar(matrix.A, matrix.B);

        for (int i = 0; i < 2; i++) {
            for (int j = 0; j < 2; j++)
                System.out.print(result[i][j] + " ");
            System.out.println();
        }
    }
}

Java. Matrix multiplication.

Tested with matrices of different size.

public class Matrix {

/**
 * Matrix multiplication method.
 * @param m1 Multiplicand
 * @param m2 Multiplier
 * @return Product
 */
    public static double[][] multiplyByMatrix(double[][] m1, double[][] m2) {
        int m1ColLength = m1[0].length; // m1 columns length
        int m2RowLength = m2.length;    // m2 rows length
        if(m1ColLength != m2RowLength) return null; // matrix multiplication is not possible
        int mRRowLength = m1.length;    // m result rows length
        int mRColLength = m2[0].length; // m result columns length
        double[][] mResult = new double[mRRowLength][mRColLength];
        for(int i = 0; i < mRRowLength; i++) {         // rows from m1
            for(int j = 0; j < mRColLength; j++) {     // columns from m2
                for(int k = 0; k < m1ColLength; k++) { // columns from m1
                    mResult[i][j] += m1[i][k] * m2[k][j];
                }
            }
        }
        return mResult;
    }

    public static String toString(double[][] m) {
        String result = "";
        for(int i = 0; i < m.length; i++) {
            for(int j = 0; j < m[i].length; j++) {
                result += String.format("%11.2f", m[i][j]);
            }
            result += "\n";
        }
        return result;
    }

    public static void main(String[] args) {
        // #1
        double[][] multiplicand = new double[][] {
                {3, -1, 2},
                {2,  0, 1},
                {1,  2, 1}
        };
        double[][] multiplier = new double[][] {
                {2, -1, 1},
                {0, -2, 3},
                {3,  0, 1}
        };
        System.out.println("#1\n" + toString(multiplyByMatrix(multiplicand, multiplier)));
        // #2
        multiplicand = new double[][] {
                {1, 2, 0},
                {-1, 3, 1},
                {2, -2, 1}
        };
        multiplier = new double[][] {
                {2},
                {-1},
                {1}
        };
        System.out.println("#2\n" + toString(multiplyByMatrix(multiplicand, multiplier)));
        // #3
        multiplicand = new double[][] {
                {1, 2, -1},
                {0,  1, 0}
        };
        multiplier = new double[][] {
                {1, 1, 0, 0},
                {0, 2, 1, 1},
                {1, 1, 2, 2}
        };
        System.out.println("#3\n" + toString(multiplyByMatrix(multiplicand, multiplier)));
    }
}

Output:

#1
      12.00      -1.00       2.00
       7.00      -2.00       3.00
       5.00      -5.00       8.00

#2
       0.00
      -4.00
       7.00

#3
       0.00       4.00       0.00       0.00
       0.00       2.00       1.00       1.00

static int b[][]={{21,21},{22,22}};

static int a[][] ={{1,1},{2,2}};

public static void mul(){
    int c[][] = new int[2][2];

    for(int i=0;i<b.length;i++){
        for(int j=0;j<b.length;j++){
            c[i][j] =0;
        }   
    }

    for(int i=0;i<a.length;i++){
        for(int j=0;j<b.length;j++){
            for(int k=0;k<b.length;k++){
            c[i][j]= c[i][j] +(a[i][k] * b[k][j]);
            }
        }
    }

    for(int i=0;i<c.length;i++){
        for(int j=0;j<c.length;j++){
            System.out.print(c[i][j]);
        }   
        System.out.println("\n");
    }
}

Try this,

public static Double[][] multiplicar(Double A[][],Double B[][]){
    Double[][] C= new Double[2][2];
    int i,j,k;
     for (i = 0; i < 2; i++) {
         for (j = 0; j < 2; j++) {
             C[i][j] = 0.00000;
         }
     }
    for(i=0;i<2;i++){
        for(j=0;j<2;j++){
            for (k=0;k<2;k++){
                  C[i][j]+=(A[i][k]*B[k][j]);

            }

        }
    }
    return C;
}

try this,it may help you

import java.util.Scanner;

public class MulTwoArray {

public static void main(String[] args) {

    int i, j, k;
    int[][] a = new int[3][3];
    int[][] b = new int[3][3];
    int[][] c = new int[3][3];



    Scanner sc = new Scanner(System.in);

    System.out.println("Enter size of array a");
    int rowa = sc.nextInt();
    int cola = sc.nextInt();

    System.out.println("Enter size of array b");
    int rowb = sc.nextInt();
    int colb = sc.nextInt();


    //read and b

    System.out.println("Enter elements of array a");
    for (i = 0; i < rowa; ++i) {
        for (j = 0; j < cola; ++j) {

            a[i][j] = sc.nextInt();

        }
        System.out.println();
    }
    System.out.println("Enter elements of array b");
    for (i = 0; i < rowb; ++i) {
        for (j = 0; j < colb; ++j) {

            b[i][j] = sc.nextInt();

        }
        System.out.println("\n");
    }

    //print a and b

    System.out.println("the elements of array a");
    for (i = 0; i < rowa; ++i) {
        for (j = 0; j < cola; ++j) {

            System.out.print(a[i][j]);
            System.out.print("\t");

        }
        System.out.println("\n");
    }
    System.out.println("the elements of array b");
    for (i = 0; i < rowb; ++i) {
        for (j = 0; j < colb; ++j) {

            System.out.print(b[i][j]);
            System.out.print("\t");

        }
        System.out.println("\n");

    }

    //multiply a and b

    for (i = 0; i < rowa; ++i) {

        for (j = 0; j < colb; ++j) {
            c[i][j] = 0;
            for (k = 0; k < cola; ++k) {
                c[i][j] += a[i][k] * b[k][j];
            }
        }
    }


    //print multi result

    System.out.println("result of multiplication of array a and b is ");
    for (i = 0; i < rowa; ++i) {
        for (j = 0; j < colb; ++j) {

            System.out.print(c[i][j]);
            System.out.print("\t");
        }
        System.out.println("\n");
    }
}
}