矩阵

请使用C++实现矩阵的各种运算
1、矩阵创建
2、矩阵相加
3、矩阵相减
4、矩阵相乘
5、数字乘矩阵
6、矩阵上叠加
7、矩阵左右叠加
8、矩阵转置
9、矩阵旋转
10、矩阵求逆
11、矩阵输出

using namespace std;
int line; int column;
int line2; int column2;
int matrix2[100][100];
int matrix[100][100];
int result[100][100];
void Creat(int x) {//创建矩阵
    int line; int column;//行与列
    cout << "请输入行与列";
    cout << "行：";
    cin >> line;
    cout << "列：";
    cin >> column;
    int k = 0;
    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            k++;
            cout << k << " ";
        }
        cout << endl;

    }
   
}
void add(int x) {//矩阵相加，在输入两个矩阵之后通过if来判断两个矩阵的行列是否相等，然后通过for循环相加
    cout << "请输入第一个矩阵的行与列";
  
    cout << "行（100）：";
    cin >> line;
    cout << "列（100）：";
    cin >> column;
    int matrix[100][100];
    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
        }
    }
    
    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin>>matrix[i][j];
        }
        cout << endl;

    }
    cout << "请输入第二个矩阵的行与列";
  
    cout << "行：";
    cin >> line2;
    cout << "列：";
    cin >> column2;
    int matrix2[100][100];
    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix2[i][j] = 0;
        }
    }
    for (int i = 0; i < line2; i++) {
        for (int j = 0; j < column2; j++) {
            cout << "请输入数字:"<<i+1<<"行"<<j+1<<"列";
            cin >> matrix2[i][j];
        }
        cout << endl;

    }
    if (line == line2 && column == column2) {
        for (int i = 0; i < line2; i++) {
            for (int j = 0; j < column2; j++) {

                cout<< matrix[i][j] + matrix2[i][j];
            }
            cout << endl;

        }
    }
    else
    {
        cout << "无法进行运算，因为两个矩阵的行与列不相同";
    }
}
void subtract(int x) {//与上一个函数相同只是把加换成了减
    cout << "请输入第一个矩阵的行与列";
    
    cout << "行（100）：";
    cin >> line;
    cout << "列（100）：";
    cin >> column;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
        }
    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix[i][j];
        }
        cout << endl;

    }
    cout << "请输入第二个矩阵的行与列";
    
    cout << "行：";
    cin >> line2;
    cout << "列：";
    cin >> column2;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix2[i][j] = 0;
        }
    }
    for (int i = 0; i < line2; i++) {
        for (int j = 0; j < column2; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix2[i][j];
        }
        cout << endl;

    }
    if (line == line2 && column == column2) {
        for (int i = 0; i < line2; i++) {
            for (int j = 0; j < column2; j++) {

                cout << matrix[i][j] - matrix2[i][j];
            }
            cout << endl;

        }
    }
    else
    {
        cout << "无法进行运算，因为两个矩阵的行与列不相同";
    }
}
void multiply(int x) {//矩阵乘法
//输入两个矩阵通过三重for循环来实现矩阵的乘法
    cout << "请输入第一个矩阵的行与列";

    cout << "行（100）：";
    cin >> line;
    cout << "列（100）：";
    cin >> column;
   
    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
             result[i][j]=0;
        }
    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix[i][j];
        }
        cout << endl;

    }
    cout << "请输入第二个矩阵的行与列";
   
    cout << "行：";
    cin >> line2;
    cout << "列：";
    cin >> column2;
  
    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix2[i][j] = 0;
        }
    }
    for (int i = 0; i < line2; i++) {
        for (int j = 0; j < column2; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix2[i][j];
        }
    

    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column2; j++) {
            for (int k = 0; k < line; k++) {
                result[i][j]+= matrix[i][k]* matrix2[k][j];
         }
        }
    }
    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column2; j++) {
            cout << result[i][j]<<" ";
        }cout << endl;
    }
   
}
void scalar_multiply(int x) {//矩阵数乘
//输入矩阵和数字后直接让数字与每一个矩阵元素相乘
    cout << "请输入矩阵的行与列";

    cout << "行数（100）：";
    cin >> line;
    cout << "列数（100）：";
    cin >> column;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
        }
    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix[i][j];
        }
        cout << endl;

    }
    cout << "请输入数字";
    int num;
    cin >> num;
    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << matrix[i][j] * num<<" ";
        }cout << endl;
    }


}
void superpositiontop(int x) {//叠加
    cout << "请输入第一个矩阵的行与列";

    cout << "行（100）：";
    cin >> line;
    cout << "列（100）：";
    cin >> column;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
            result[i][j] = 0;
        }
    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix[i][j];
        }
        cout << endl;

    }
    cout << "请输入第二个矩阵的行与列";

    cout << "行：";
    cin >> line2;
    cout << "列：";
    cin >> column2;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix2[i][j] = 0;
        }
    }
    for (int i = 0; i < line2; i++) {
        for (int j = 0; j < column2; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix2[i][j];
        }


    }
    if (line != line2) {
        cout << "无法叠加";
    }
    else {
        for (int i = 0; i < line; i++) {
            for (int j = 0; j < column2; j++) {
                cout << matrix[i][j] << " ";
            }cout << endl;
        }

        for (int i = 0; i < line; i++) {
            for (int j = 0; j < column2; j++) {
                cout << matrix2[i][j] << " ";
            }cout << endl;
        }
    }
}
void superpositionlef(int x) {
    cout << "请输入第一个矩阵的行与列";

    cout << "行（100）：";
    cin >> line;
    cout << "列（100）：";
    cin >> column;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
            result[i][j] = 0;
        }
    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix[i][j];
        }
        cout << endl;

    }
    cout << "请输入第二个矩阵的行与列";

    cout << "行：";
    cin >> line2;
    cout << "列：";
    cin >> column2;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix2[i][j] = 0;
        }
    }
    for (int i = 0; i < line2; i++) {
        for (int j = 0; j < column2; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix2[i][j];
        }


    }
    if (column != column2) {
        cout << "无法叠加";
    }
    else {
        for (int i = 0; i < line; i++) {
            for (int j = 0; j < column2; j++) {
                cout << matrix[i][j] << " ";
            }cout << endl;
        }

        for (int i = 0; i < line; i++) {
            for (int j = 0; j < column2; j++) {
                cout << matrix2[i][j] << " ";
            }cout << endl;
        }
    }
}
void  transposition(int x) {
    cout << "请输入矩阵的行与列";

    cout << "行（100）：";
    cin >> line;
    cout << "列（100）：";
    cin >> column;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
            result[i][j] = 0;
        }
    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix[i][j];
        }
        cout << endl;

    }
    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << matrix[j][i] << " ";
        }cout << endl;
    }
}
void rotation(int x) {
    cout << "请输入矩阵的行与列";

    cout << "行数（100）：";
    cin >> line;
    cout << "列数（100）：";
    cin >> column;

    for (int i = 0; i < 100; i++) {
        for (int j = 0; j < 100; j++) {
            matrix[i][j] = 0;
            result[i][j] = 0;
        }
    }

    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << "请输入数字:" << i + 1 << "行" << j + 1 << "列";
            cin >> matrix[i][j];
        }
        cout << endl;

    }
    for (int i = 0; i < line;i++ ) {
        int k = line - 1;
        for (int j = 0; j < column; j++) {
          
            result[i][j] = matrix[k][i];
            k--;
        }
    }
    for (int i = 0; i < line; i++) {
        for (int j = 0; j < column; j++) {
            cout << result[i][j] << " ";

        }cout << endl;
    }
}
void change(int x){}
int main()
{
    int x;
    cout << "1.创建矩阵" << endl << "2.矩阵相加" << endl << "3.矩阵相减" << endl << "4.矩阵相乘" << endl << "5.数字乘矩阵" << endl
        << "6.矩阵上叠加" << endl << "7.矩阵左右叠加" << endl << "8.矩阵转置" << endl << "9.矩阵旋转" << endl << "10.矩阵求逆" << endl << "11.矩阵输出";
    if (x == 1)
    {
        Creat(1);
    }if (x == 2) {
        add(2);
    
    }if (x == 3) 
    {
        subtract(3); 
    }if (x == 4) 
    {
        multiply(4);
    }if (x == 5) 
    {
        scalar_multiply(5); 
    }if (x == 6) {
        superpositiontop(6);
    }if (x == 7) {
        superpositionlef(7);
    }if (x == 8) {
        transposition(8);
    }if (x == 9) {
        rotation(9);
    }if (x == 10) {
        change(10);
    }
    if (x == 11) {

    }
    
}