C 程序检查矩阵是否倾斜对称 · GeeksForGeeks 中文系列教程

# C 程序检查矩阵是否倾斜对称 > 原文： [https://www.geeksforgeeks.org/c-program-check-whether-matrix-skew-symmetric-not/](https://www.geeksforgeeks.org/c-program-check-whether-matrix-skew-symmetric-not/) 倾斜对称矩阵或反对称矩阵是方阵，其转置与原始矩阵的转置相反。如果矩阵的第 i <sup>行</sup>行和第 j <sup>行</sup>列中的条目为 a [i] [j]，即如果 A =（a [i] [j]），倾斜对称条件为-A = -a [j] [i]。 **示例**： ``` Input : matrix: 0 5 -4 -5 0 1 4 -1 0 Output: Transpose matrix: 0 -5 4 5 0 1 -4 1 0 Skew Symmetric matrix ``` **步骤**： 1. 找到输入矩阵的转置。 2. 如果输入矩阵等于其转置矩阵的负值，则该矩阵为“斜对称”。 ## C++ ```cpp // C program to check whether given matrix // is skew-symmetric or not #include <stdio.h> #include <stdlib.h> #define ROW 3 #define COL 3 // Utility function to create transpose matrix void transpose(int transpose_matrix[ROW][COL], int matrix[ROW][COL]) { for (int i = 0; i < ROW; i++) for (int j = 0; j < COL; j++) transpose_matrix[j][i] = matrix[i][j]; } // Utility function to check skew - symmetric // matrix condition bool check(int transpose_matrix[ROW][COL], int matrix[ROW][COL]) { for (int i = 0; i < ROW; i++) for (int j = 0; j < COL; j++) if (matrix[i][j] != -transpose_matrix[i][j]) return false; return true; } // Utility function to print a matrix void printMatrix(int matrix[ROW][COL]) { for (int i = 0; i < ROW; i++) { for (int j = 0; j < COL; j++) printf("%d ", matrix[i][j]); printf("\n"); } } // Driver program to test above functions int main() { int matrix[ROW][COL] = { {0, 5, -4}, {-5, 0, 1}, {4, -1, 0}, }; int transpose_matrix[ROW][COL]; // Function create transpose matrix transpose(transpose_matrix, matrix); printf ("Transpose matrix: \n"); printMatrix(transpose_matrix); // Check whether matrix is skew-symmetric or not if (check(transpose_matrix, matrix)) printf("Skew Symmetric Matrix"); else printf("Not Skew Symmetric Matrix"); return 0; } ``` ## Java ```java // java program to check // whether given matrix // is skew-symmetric or not import java.io.*; class GFG { static int ROW =3; static int COL =3; // Utility function to create transpose matrix static void transpose(int transpose_matrix[][], int matrix[][]) { for (int i = 0; i < ROW; i++) for (int j = 0; j < COL; j++) transpose_matrix[j][i] = matrix[i][j]; } // Utility function to check skew - symmetric // matrix condition static boolean check(int transpose_matrix[][], int matrix[][]) { for (int i = 0; i < ROW; i++) for (int j = 0; j < COL; j++) if (matrix[i][j] != -transpose_matrix[i][j]) return false; return true; } // Utility function to print a matrix static void printMatrix(int matrix[][]) { for (int i = 0; i < ROW; i++) { for (int j = 0; j < COL; j++) System.out.print(matrix[i][j] + " "); System.out.println(); } } // Driver program to test above functions public static void main (String[] args) { int matrix[][] = { {0, 5, -4}, {-5, 0, 1}, {4, -1, 0}, }; int transpose_matrix[][] = new int[ROW][COL]; // Function create transpose matrix transpose(transpose_matrix, matrix); System.out.println ("Transpose matrix: "); printMatrix(transpose_matrix); // Check whether matrix is skew-symmetric or not if (check(transpose_matrix, matrix)) System.out.println("Skew Symmetric Matrix"); else System.out.println("Not Skew Symmetric Matrix"); } } // This code is contributed by vt_m. ``` ## Python3 ```py # Python 3 program to check # whether given matrix # is skew-symmetric or not ROW=3 COL=3 # Utility function to # create transpose matrix def transpose(transpose_matrix,matrix): for i in range (ROW): for j in range(COL): transpose_matrix[j][i] = matrix[i][j] # Utility function to # check skew - symmetric # matrix condition def check(transpose_matrix,matrix): for i in range(ROW): for j in range(COL): if (matrix[i][j] != -transpose_matrix[i][j]): return False return True # Utility function to print a matrix def printMatrix(matrix): for i in range (ROW): for j in range(COL): print(matrix[i][j]," ",end="") print() # Driver program to test above functions matrix= [ [0, 5, -4], [-5, 0, 1], [4, -1, 0], ] transpose_matrix=[[0 for i in range(3)] for j in range(3)] # Function create transpose matrix transpose(transpose_matrix, matrix) print("Transpose matrix:") printMatrix(transpose_matrix) # Check whether matrix is # skew-symmetric or not if (check(transpose_matrix, matrix)): print("Skew Symmetric Matrix") else: print("Not Skew Symmetric Matrix") # This code is contributed # by Azkia Anam. ``` ## C# ```cs // C# program to check // whether given matrix // is skew-symmetric or not using System; class GFG { static int ROW =3; static int COL =3; // Utility function to // create transpose matrix static void transpose(int [,]transpose_matrix, int [,]matrix) { for (int i = 0; i < ROW; i++) for (int j = 0; j < COL; j++) transpose_matrix[j,i] = matrix[i,j]; } // Utility function to check // skew - symmetric matrix // condition static bool check(int [,]transpose_matrix, int [,]matrix) { for (int i = 0; i < ROW; i++) for (int j = 0; j < COL; j++) if (matrix[i, j] != -transpose_matrix[i, j]) return false; return true; } // Utility function // to print a matrix static void printMatrix(int [,]matrix) { for (int i = 0; i < ROW; i++) { for (int j = 0; j < COL; j++) Console.Write(matrix[i, j] + " "); Console.WriteLine(); } } // Driver Code public static void Main () { int [,]matrix = {{0, 5, -4}, {-5, 0, 1}, {4, -1, 0},}; int [,]transpose_matrix = new int[ROW, COL]; // Function create transpose matrix transpose(transpose_matrix, matrix); Console.WriteLine("Transpose matrix: "); printMatrix(transpose_matrix); // Check whether matrix is // skew-symmetric or not if (check(transpose_matrix, matrix)) Console.WriteLine("Skew Symmetric Matrix"); else Console.WriteLine("Not Skew Symmetric Matrix"); } } // This code is contributed by anuj_67\. ``` **输出**： ``` Transpose matrix: 0 -5 4 5 0 -1 -4 1 0 Skew Symmetric Matrix ``` **参考**： [维基百科](https://en.wikipedia.org/wiki/Skew-symmetric_matrix)