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# 11.25 (Markov matrix) An n*n matrix is called a positive Markov matrix if each element
# is positive and the sum of the elements in each column is 1. Write the following
# function to check whether a matrix is a Markov matrix:
# def isMarkovMatrix(m):
# Write a test program that prompts the user to enter a 3*3 matrix of numbers and
# tests whether it is a Markov matrix.
def isMarkovMatrix(m):
for row in m:
for e in row:
if e < 0:
return False
if sum(row) != 1:
return False
return True
mat = []
print('Enter a 3-by-3 matrix row by row:')
for i in range(3):
x = input().split()
x = [eval(r) for r in x]
mat.append(x)
transpose = [[row[i] for row in mat] for i in range(len(mat))]
print(isMarkovMatrix(transpose))
