java设计矩阵类matrix代码

以下是Java中设计矩阵类Matrix的代码：

public class Matrix {
    private final int rows;
    private final int cols;
    private final double[][] data;

    public Matrix(int rows, int cols) {
        this.rows = rows;
        this.cols = cols;
        this.data = new double[rows][cols];
    }

    public Matrix(double[][] data) {
        this.rows = data.length;
        this.cols = data[0].length;
        this.data = data.clone();
    }

    public Matrix multiply(Matrix other) {
        if (this.cols != other.rows) {
            throw new IllegalArgumentException("Matrices sizes are not compatible for multiplication");
        }
        double[][] result = new double[this.rows][other.cols];
        for (int i = 0; i < this.rows; i++) {
            for (int j = 0; j < other.cols; j++) {
                for (int k = 0; k < this.cols; k++) {
                    result[i][j] += this.data[i][k] * other.data[k][j];
                }
            }
        }
        return new Matrix(result);
    }

    public Matrix transpose() {
        double[][] result = new double[this.cols][this.rows];
        for (int i = 0; i < this.rows; i++) {
            for (int j = 0; j < this.cols; j++) {
                result[j][i] = this.data[i][j];
            }
        }
        return new Matrix(result);
    }

    @Override
    public String toString() {
        StringBuilder builder = new StringBuilder();
        for (double[] row : this.data) {
            builder.append(Arrays.toString(row)).append("\n");
        }
        return builder.toString();
    }
}