c#实现矩阵的转置，相乘等
比较简单，适合 初学者
题目：
定义矩阵类，完成矩阵的产生，转置和相乘（控制台程序）
步骤：
1.可以新创建一个控制台程序，也可在原工程中添加新类
右键工程名
ADD->new items->class，名称为Matrix
具体的代码如下：
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace ClassTest
{
class Matrix
{
private double[,] matrix;//一个二维数组，保存矩阵中的值
private int col;//矩阵的列数
private int row;//矩阵的行数
private string name;//矩阵的名字
//构造函数
public Matrix()
{
}
public Matrix(int row,int col)
{
this.col = col;
this.row = row;
this.name = "";
this.matrix = new double[row, col];
}
public Matrix(int row,int col,string name)
{
this.col = col;
this.row = row;
this.name=name;
this.matrix=new double[row,col];
}
public Matrix(int row, int col, double[] data)
{
this.col = col;
this.row = row;
this.name = "";
this.matrix = new double[row, col];
for (int i = 0; i < row; i++)
{
for (int j = 0; j < col; j++)
{
this.matrix[i,j] = data[i * col + j];
}
}
}
public Matrix(int row, int col,string name, double[] data)//用一个数组中的值为矩阵赋值
{
this.col = col;
this.row = row;
this.name = name;
this.matrix = new double[row, col];
for (int i = 0; i < row; i++)
{
for (int j = 0; j < col; j++)
{
this.matrix[i, j] = data[i * col + j];
}
}
}
public int Column
{
get
{
return col;
}
set
{
this.col = value;
}
}
public int Rows
{
get
{
return row;
}
set
{
this.row = value;
}
}
public string Name
{
get
{
return name;
}
set
{
this.name = value;
}
}
//输出矩阵
public void Show()
{
for (int i = 0; i < row; i++)
{
for (int j = 0; j < col; j++)
{
Console.Write(matrix[i, j].ToString() + " ");
}
Console.Write("\n");
}
}
//对矩阵的某一位置赋值
public void SetValue(double v)
{
for (int i = 0; i < matrix.GetLength(0); i++)
{
for (int j = 0; j < matrix.GetLength(1); i++)
{
matrix[i, j] = v;
}
}
}
//初等变换：对调任意两行
public Matrix Exchange(int i,int j)
{
double temp;
for (int k = 0; k < col; k++)
{
temp = matrix[i, k];
matrix[i, k] = matrix[j, k];
matrix[j, k] = temp;
}
return this;
}
//初等变换：矩阵第i行乘以常数
public Matrix MulCount(int i,double count)
{
for (int j = 0; j < col; j++)
{
this.matrix[i, j] *= count;
}
return this;
}
//转置
public Matrix Transpose()
{
int rows = this.col;
int cols = this.row;
Matrix trans = new Matrix(rows, cols);
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < cols; j++)
{
trans.matrix[i,j] = this.matrix[j,i];
}
}
return trans;
}
//矩阵相加
public static Matrix operator +(Matrix m1, Matrix m2)
{
if (m1.row != m2.row || m1.col != m2.col)
{
System.Exception e = new Exception("两矩阵的行数或列数不相等");
throw e;
}
Matrix mat = new Matrix(m1.row, m2.col);
for (int i = 0; i < m1.row; i++)
{
for (int j = 0; j < m1.col; j++)
{
mat.matrix[i, j] = m1.matrix[i, j] + m2.matrix[i, j];
}
}
return mat;
}
public static Matrix operator -(Matrix m1, Matrix m2)
{
if (m1.row != m2.row || m1.col != m2.col)
{
System.Exception e = new Exception("两矩阵的行数或列数不相等");
throw e;
}
Matrix mat = new Matrix(m1.row, m2.col);
for (int i = 0; i < m1.row; i++)
{
for (int j = 0; j < m1.col; j++)
{
mat.matrix[i, j] = m1.matrix[i, j] - m2.matrix[i, j];
}
}
return mat;
}
public static Matrix operator *(Matrix m1, Matrix m2)
{
if (m1.col!=m2.row)
{
System.Exception e = new Exception("两矩阵的行列数不相等");
throw e;
}
Matrix mat = new Matrix(m1.row, m2.col);
for (int i = 0; i < m1.row; i++)
{
for (int j = 0; j < m2.col; j++)
{
double temp=0;
for (int k = 0; k < m1.col; k++)
{
temp += m1.matrix[i, k] * m2.matrix[k, j];
}
mat.matrix[i, j] = temp;
}
}
return mat;
}
}
}
然后在program.cs中调用矩阵类，进行测试，代码如下：
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace ClassTest
{
class Program
{
static void Main(string[] args)
{
Matrix mA=new Matrix();
Matrix mB=new Matrix();
for (int t = 0; t < 2; t++)
{
string name;
if (t == 0) name = "矩阵A";
else name = "矩阵B";
int r, c;
double[] data = new double[10000];
Console.WriteLine("请输入"+name+"的行数：");
r = Convert.ToInt32(Console.ReadLine());
Console.WriteLine("请输入" + name + "的列数：");
c = Convert.ToInt32(Console.ReadLine());
Console.WriteLine("请输入"+name+"的数值（请按行列式的形式输入）：");
for (int i = 0; i < r; i++)
{
string input = Console.ReadLine();
string[] str = new string[10000];
str = input.Split(' ');
for (int j = 0; j < c; j++)
{
data[i * c + j] = double.Parse(str[j]);
}
}
if (t == 0)
{
mA= new Matrix(r, c, name, data);
Matrix mA2=mA.Transpose();
Console.WriteLine("矩阵A转置后变成：");
mA2.Show();
}
else
{
mB = new Matrix(r, c, name, data);
Matrix mB2 = mB.Transpose();
Console.WriteLine("矩阵B转置后变成：");
mB2.Show();
}
}
Matrix mAB = mA * mB;
Console.WriteLine("矩阵A,B相乘的结果：");
mAB.Show();
}
}
}
ctrl+F5运行，如图：
具体工程在我的资源中，可下载。
