Finding the matrix hyperbolic cosine

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

  import java.util.Arrays;

   public class MatrixHyperbolicCosine {

    // Function to calculate the hyperbolic cosine of a number

    public static double hyperbolicCosine(double x) {

        return (Math.exp(x) + Math.exp(-x)) / 2;

    }
    // Function to calculate the hyperbolic cosine of a matrix

    public static double[][] matrixHyperbolicCosine(double[][] matrix) {

        int rows = matrix.length;

        int columns = matrix[0].length;

        double[][] result = new double[rows][columns];

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

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

                result[i][j] = hyperbolicCosine(matrix[i][j]);

           }
        }
        return result;
    }
    // Main method to test the matrix hyperbolic cosine function

    public static void main(String[] args) {

        double[][] matrix = {{1.0, 2.0}, {3.0, 4.0}};

        System.out.println("Input matrix:");

        for (double[] row : matrix) {

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

        }

        double[][] result = matrixHyperbolicCosine(matrix);

        System.out.println("Result matrix:");

        for (double[] row : result) {

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

        }
   }
}

This program defines two functions: `hyperbolicCosine` to calculate the hyperbolic cosine of a single number, and `matrixHyperbolicCosine` to calculate the hyperbolic cosine of a matrix by applying the `hyperbolicCosine` function to each element.

In the `main` method, we create an example input matrix `{{1.0, 2.0}, {3.0, 4.0}}` and pass it to the `matrixHyperbolicCosine` function. The resulting matrix is then printed to the console.

The output of the program will be:

Input matrix:

[1.0, 2.0]

[3.0, 4.0]

Result matrix:

[1.5430806348152437, 3.7621956910836314]

[10.067661995777765, 27.308232836016487]

The elements of the input matrix are passed through the `hyperbolicCosine` function to calculate the corresponding hyperbolic cosines, resulting in the output matrix.