L13Q2_SymmetricSquare.py

# A list is symmetric if the first row is the same as the first column,
# the second row is the same as the second column and so on. Write a
# procedure, symmetric, which takes a list as input, and returns the
# boolean True if the list is symmetric and False if it is not.

def symmetric(matrix):
    if len(matrix) != len(matrix[0]):
        return False
    i = 0
    while i < len(matrix):
        j = 0
        while j < len(matrix):
            if matrix[i][j] != matrix [j][i]:
                return False
            j += 1
        i += 1
    return True

print symmetric([[1, 2, 3],
                [2, 3, 4],
                [3, 4, 1]])
#>>> True

print symmetric([["cat", "dog", "fish"],
                ["dog", "dog", "fish"],
                ["fish", "fish", "cat"]])
#>>> True

print symmetric([["cat", "dog", "fish"],
                ["dog", "dog", "dog"],
                ["fish","fish","cat"]])
#>>> False

print symmetric([[1, 2],
                [2, 1]])
#>>> True

print symmetric([[1, 2, 3, 4],
                [2, 3, 4, 5],
                [3, 4, 5, 6]])
#>>> False

print symmetric([[1,2,3],
                [2,3,1]])
#>>> False