C++ 程序,用于检查两个矩阵的可乘性
两个矩阵如果可以相乘,则称之为可乘的。只有当第一个矩阵的列数等于第二个矩阵的行数时,才有可能相乘。例如。
Number of rows in Matrix 1 = 3 Number of columns in Matrix 1 = 2 Number of rows in Matrix 2 = 2 Number of columns in Matrix 2 = 5 Matrix 1 and Matrix 2 are multiplicable as the number of columns of Matrix 1 is equal to the number of rows of Matrix 2.
一个用于检查两个矩阵可乘性的程序如下。
示例
#include<iostream>
using namespace std;
int main() {
int row1, column1, row2, column2;
cout<<"Enter the dimensions of the first matrix:"<< endl;
cin>>row1;
cin>>column1;
cout<<"Enter the dimensions of the second matrix: "<<endl;
cin>>row2;
cin>>column2;
cout<<"First Matrix"<<endl;
cout<<"Number of rows: "<<row1<<endl;
cout<<"Number of columns: "<<column1<<endl;
cout<<"Second Matrix"<<endl;
cout<<"Number of rows: "<<row2<<endl;
cout<<"Number of columns: "<<column2<<endl;
if(column1 == row2)
cout<<"Matrices are multiplicable";
else
cout<<"Matrices are not multiplicable";
return 0;
}产出
Enter the dimensions of the first matrix: 2 3 Enter the dimensions of the second matrix: 3 3 First Matrix Number of rows: 2 Number of columns: 3 Second Matrix Number of rows: 3 Number of columns: 3 Matrices are multiplicable
在上述程序中,首先由用户输入两个矩阵的维度。这显示如下。
cout<<"Enter the dimensions of the first matrix:"<< endl; cin>>row1; cin>>column1; cout<<"Enter the dimensions of the second matrix: "<<endl; cin>>row2; cin>>column2;
然后,打印出矩阵的行数和列数。这显示如下。
cout<<"First Matrix"<<endl; cout<<"Number of rows: "<<row1<<endl; cout<<"Number of columns: "<<column1<<endl; cout<<"Second Matrix"<<endl; cout<<"Number of rows: "<<row2<<endl; cout<<"Number of columns: "<<column2<<endl;
如果矩阵 1 中的列数等于矩阵 2 中的行数,则会打印出矩阵可乘。否则,会打印出矩阵不可乘。这由以下代码段演示。
if(column1 == row2) cout<<"Matrices are multiplicable"; else cout<<"Matrices are not multiplicable";
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