Finding the matrix power.

Here’s an example Java program that calculates the power of a matrix:

  import java.util.Arrays;

  public class MatrixPower { 

    public static int[][] matrixPower(int[][] matrix, int power) {

        int[][] result = new int[matrix.length][matrix[0].length];

        // Initialize the result matrix with the identity matrix

        for (int i = 0; i < matrix.length; i++) {

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

                if (i == j)

                    result[i][j] = 1;

                else

                    result[i][j] = 0;
            }
        }

        // Calculate the power of the matrix

        while (power > 0) {

            if (power % 2 == 1) {

                result = multiplyMatrices(result, matrix);

            }

            matrix = multiplyMatrices(matrix, matrix);

            power /= 2;

        }     

       return result;
    }
    public static int[][] multiplyMatrices(int[][] matrix1, int[][] matrix2) {

        int rows1 = matrix1.length;

        int cols1 = matrix1[0].length;

        int cols2 = matrix2[0].length;

        int[][] result = new int[rows1][cols2];

        for (int i = 0; i < rows1; i++) {

            for (int j = 0; j < cols2; j++) {

                for (int k = 0; k < cols1; k++) {

                    result[i][j] += matrix1[i][k] * matrix2[k][j];

             }

            }
        }     

        return result;
    }
    public static void main(String[] args) {

        int[][] matrix = {

            {1, 2},

            {3, 4}

        };

        int power = 3;

        int[][] result = matrixPower(matrix, power);

        System.out.println("Matrix raised to the power " + power + ":");

        for (int[] row : result) {

            System.out.println(Arrays.toString(row));
        }

   }
}

In this program, the `matrixPower` method calculates the power of a matrix by repeatedly squaring the matrix and multiplying the result by itself. The `multiplyMatrices` method is used to multiply two matrices together.

The example matrix used in the `main` method is a 2×2 matrix, and the power is set to 3. The result is printed to the console. You can modify the values of the `matrix` and `power` variables to test the program with different inputs.

Note that this implementation assumes square matrices, and the power should be a non-negative integer.