确定两个矩阵是否相等的程序

17 Mar 2025 | 4 分钟阅读

说明

在此程序中，我们需要检查给定的矩阵是否相等。

当且仅当两个矩阵满足以下条件时，它们才被认为相等：

两个矩阵都应具有相同的行数和列数。
两个矩阵都应具有相同的对应元素。

Program to determine whether two matrices are equal

考虑上面的例子，其中矩阵 A 和 B 相等，因为它们的大小和对应元素都相同。

算法

声明并初始化两个二维数组 a 和 b。
计算数组 a 中的行数和列数，并分别存储在变量 row1 和 col1 中。
计算数组 b 中的行数和列数，并分别存储在变量 row2 和 col2 中。
初始化变量 flag 为 true。
检查两个数组的大小是否相等。如果数组大小不相等，则显示消息“矩阵不相等”。
如果两个数组的大小相等，则遍历两个数组并比较每个元素。
如果任何对应元素不相等，则将 flag 设置为 false 并中断循环。
如果 flag 等于 true，则表示矩阵相等。否则，矩阵不相等。

解决方案

Python

#Initialize matrix a
a = [   
        [1, 2, 3],
        [8, 4, 6],
        [4, 5, 7]
    ];
 
#Initialize matrix b
b = [   
        [1, 2, 3],
        [8, 4, 6],
        [4, 5, 7]
    ];
 
flag = True;
 
#Calculates number of rows and columns present in first matrix
row1 = len(a);
col1 = len(a[0]);
 
#Calculates number of rows and columns present in second matrix
row2 = len(b);
col2 = len(b[0]);
 
#Checks if dimensions of both the matrices are equal
if(row1 != row2 or col1 != col2):
    print("Matrices are not equal");
 
else:
    for i in range(0, row1):
        for j in range(0, col1):
            if(a[i][j] != b[i][j]):
                flag = False;
                break;
    
    if(flag):
        print("Matrices are equal");
    else:
        print("Matrices are not equal");

输出

Matrices are equal

C

#include <stdio.h>
#include <stdbool.h>
 
int main()
{
    int row1, col1, row2, col2;
    bool flag = true;
    
    //Initialize matrix a
    int a[][3] = {   
                    {1, 2, 3},
                    {8, 4, 6},
                    {4, 5, 7}
                };
    
    //Initialize matrix b
    int b[][3] = {   
                    {1, 2, 3},
                    {8, 4, 6},
                    {4, 5, 7}
                };
    
    //Calculates number of rows and columns present in first matrix
    row1 = (sizeof(a)/sizeof(a[0]));
    col1 = (sizeof(a)/sizeof(a[0][0]))/row1;
    
    //Calculates number of rows and columns present in second matrix
    row2 = (sizeof(b)/sizeof(b[0]));
    col2 = (sizeof(b)/sizeof(b[0][0]))/row2;
    
    //Checks if dimensions of both the matrices are equal
    if(row1 != row2 || col1 != col2){
        printf("Matrices are not equal");
    }
    else{
        for(int i = 0; i < row1; i++){
            for(int j = 0; j < col1; j++){
              if(a[i][j] != b[i][j]){
                  flag = false;
                  break;
              }
            }
        }
        
        if(flag)
            printf("Matrices are equal");
        else
            printf("Matrices are not equal");
    }    
    return 0;
}

输出

Matrices are equal

JAVA

public class EqualMatrix
{
    public static void main(String[] args) {
        int row1, col1, row2, col2;
        boolean flag = true;
        
        //Initialize matrix a
        int a[][] = {   
                        {1, 2, 3},
                        {8, 4, 6},
                        {4, 5, 7}
                    };
          
          //Initialize matrix b
        int b[][] = {   
                        {1, 2, 3},
                        {8, 4, 6},
                        {4, 5, 7}
            };
          
        //Calculates the number of rows and columns present in the first matrix

          row1 = a.length;
        col1 = a[0].length;
        
        //Calculates the number of rows and columns present in the second matrix

          row2 = b.length;
        col2 = b[0].length;
        
        //Checks if dimensions of both the matrices are equal
        if(row1 != row2 || col1 != col2){
            System.out.println("Matrices are not equal");
        }
        else {
            for(int i = 0; i < row1; i++){
                for(int j = 0; j < col1; j++){
                  if(a[i][j] != b[i][j]){
                      flag = false;
                      break;
                  }
                }
            }
            
            if(flag)
                System.out.println("Matrices are equal");
            else
                System.out.println("Matrices are not equal");
        }
    }
}

输出

Matrices are equal

C#

using System;
                    
public class EqualMatrix
{
    public static void Main()
    {
        int row1, col1, row2, col2;
        Boolean flag = true;
        
        //Initialize matrix a
        int[,] a = {   
                        {1, 2, 3},
                        {8, 4, 6},
                        {4, 5, 7}
                   };
          
          //Initialize matrix b
        int[,] b = {   
                        {1, 2, 3},
                        {8, 4, 6},
                        {4, 5, 7}
                   };
          
        //Calculates the number of rows and columns present in the first matrix

          row1 = a.GetLength(0);
        col1 = a.GetLength(1);
        
        //Calculates the number of rows and columns present in the second matrix

          row2 = b.GetLength(0);
        col2 = b.GetLength(1);
        
        //Checks if dimensions of both the matrices are equal
        if(row1 != row2 || col1 != col2){
            Console.WriteLine("Matrices are not equal");
        }
        else {
            for(int i = 0; i < row1; i++){
                for(int j = 0; j < col1; j++){
                  if(a[i,j] != b[i,j]){
                      flag = false;
                      break;
                  }
                }
            }
            
            if(flag)
                Console.WriteLine("Matrices are equal");
            else
                Console.WriteLine("Matrices are not equal");
        }
    }
}

输出

Matrices are equal

PHP

<!DOCTYPE html>
<html>
<body>
<?php
//Initialize matrix a
$a = array(   
            array(1, 2, 3),
            array(8, 4, 6),
            array(4, 5, 7)
         );
 
//Initialize matrix b
$b = array(  
            array(1, 2, 3),
            array(8, 4, 6),
            array(4, 5, 7)
          );
$flag = true;
    
//Calculates number of rows and columns present in first matrix
$row1 = count($a);
$col1 = count($a[0]);
 
//Calculates number of rows and columns present in second matrix
$row2 = count($b);
$col2 = count($b[0]);
 
//Checks if dimensions of both the matrices are equal
if($row1 != $row2 || $col1 != $col2){
    print("Matrices are not equal <br>");
}
else {
    for($i = 0; $i < $row1; $i++){
        for($j = 0; $j < $col1; $j++){
          if($a[$i][$j] != $b[$i][$j]){
              $flag = false;
              break;
          }
        }
    }
    
    if($flag)
        print("Matrices are equal <br>");
    else
        print("Matrices are not equal <br>");
}
?>
</body>
</html>

输出

Matrices are equal

下一主题#

确定两个矩阵是否相等的程序

说明

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解决方案

Python

C

JAVA

C#

PHP

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确定两个矩阵是否相等的程序

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