Write a program that prompts the user to enter a 3 x 3 matrix of double values and tests whether it is a positive Markov matrix.

An n x n matrix is a positive Markov matrix if the following is true: o If each of the elements is positive

o The sum of the elements in each column is 1

output

Enter a 3 x 3 matrix by row:

0.15 0.875 0.375

0.55 0.005 0.225

0.30 0.12 0.4

The sum of the columns is

1.0 1.0 1.0

It is a Markov matrix

Enter a 3 x 3 matrix by row:

-0.2 0.875 0.375

0.75 0.005 0.225

0.45 0.12 0.4

The sum of the columns

1.0 1.0 1.0

It is not a Markov matrix