Java程序检查幂等矩阵

给定一个 N * N 矩阵，任务是检查矩阵是否是幂等矩阵。
幂等矩阵： 如果矩阵乘以自身返回相同的矩阵，则称矩阵是幂等矩阵。当且仅当M * M = M时，矩阵 M 被称为幂等矩阵。在幂等矩阵中，M 是一个方阵。

例子：

Input : mat[][] = {{3, -6},
                   {1, -2}};
Output : Idempotent Matrix

Input : mat[N][N] = {{2, -2, -4},
                     {-1, 3, 4},
                     {1, -2, -3}}
Output : Idempotent Matrix.

Java

// Java program to check given matrix 
// is idempotent matrix or not.
import java.io.*;
  
class GFG 
{
    static int N = 3;
      
    // Function for matrix multiplication.
    static void multiply(int mat[][], int res[][])
    {
        for (int i = 0; i < N; i++)
        {
            for (int j = 0; j < N; j++)
            {
                res[i][j] = 0;
                for (int k = 0; k < N; k++)
                    res[i][j] += mat[i][k] * mat[k][j];
            }
        }
    }
      
    // Function to check idempotent
    // property of matrix.
    static boolean checkIdempotent(int mat[][])
    { 
        // Calculate multiplication of matrix
        // with itself and store it into res.
        int res[][] = new int[N][N];
        multiply(mat, res);
      
        for (int i = 0; i < N; i++)
        { 
            for (int j = 0; j < N; j++)
            {
                if (mat[i][j] != res[i][j])
                    return false;
            }
        }
        return true;
    }
  
    // Driver code.
    public static void main (String[] args) 
    {
        int mat[][] = {{2, -2, -4},
                       {-1, 3, 4},
                       {1, -2, -3}};
      
        // checkIdempotent function call.
        if (checkIdempotent(mat))
            System.out.println( "Idempotent Matrix");
        else
            System.out.println("Not Idempotent Matrix.");
          
    }
}
  
// This code is contributed by vt_m.

输出：

Idempotent Matrix

请参阅有关程序的完整文章以检查幂等矩阵以获取更多详细信息！