检查对合矩阵的Python程序

给定一个矩阵，任务是检查矩阵是否是对合矩阵。
对合矩阵：如果矩阵乘以自身返回单位矩阵，则称矩阵为对合矩阵。对合矩阵是自身逆矩阵。如果A * A = I ，则称矩阵A是对合矩阵。其中 I 是单位矩阵。

例子：

Input : mat[N][N] = {{1, 0, 0},
                     {0, -1, 0},
                     {0, 0, -1}}
Output : Involutory Matrix

Input : mat[N][N] = {{1, 0, 0},
                     {0, 1, 0},
                     {0, 0, 1}} 
Output : Involutory Matrix

Python3

# Program to implement involutory matrix.
N = 3;
  
# Function for matrix multiplication.
def multiply(mat, res):
  
    for i in range(N): 
        for j in range(N):
            res[i][j] = 0;
            for k in range(N):
                res[i][j] += mat[i][k] * mat[k][j];
    return res;
  
# Function to check involutory matrix.
def InvolutoryMatrix(mat):
  
    res=[[0 for i in range(N)] 
            for j in range(N)];
  
    # multiply function call.
    res = multiply(mat, res);
  
    for i in range(N): 
        for j in range(N):
            if (i == j and res[i][j] != 1):
                return False;
            if (i != j and res[i][j] != 0):
                return False;
    return True;
  
# Driver Code
mat = [[1, 0, 0], [0, -1, 0], [0, 0, -1]];
  
# Function call. If function 
# return true then if part 
# will execute otherwise
# else part will execute.
if (InvolutoryMatrix(mat)):
    print("Involutory Matrix");
else:
    print("Not Involutory Matrix");
  
# This code is contributed by mits

输出 ：

Involutory Matrix

请参阅程序上的完整文章以检查对开矩阵以获取更多详细信息！