Build me Positive Markov Matrix in Java
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Positive Markov Matrix
An n x n matrix is a positive Markov Matrix if each element is positive and the sum of the elements in each column is 1.
Write a program that prompts the user to enter values for a 3 x 3 matrix. The program should then output the numbers in a matrix format and use a method to determine if it is a positive markov matrix. The method should return true if it is a positive markov matrix and return false if it is not.
You will need:
Scanner class for input
A 2 dimensional array that can hold 9 values
Nested for loops that do the following:
Input the values into the array
Print the values from the array in a 3 x 3 matrix format
An if else statement that uses the returned value from the method to report that the matrix is a positive markov matrix or not
A method that does the following:
Accepts a 2 dimensional array as a format parameter
Checks each element to see if it is positive
If an element is negative, return false
Finds the sum of values in each column
Don’t forget to initialize/reset your sum to 0!
If the sum is equal to 1, return true; otherwise return false.
Samples of the output is shown below:
Sample 1:
(Note that the user can enter the 9 values in a row, but the results are still output in a 3 x 3 matrix)
Enter a 3 by 3 matrix row by row:
0.15 0.875 0.375 0.55 0.005 0.225 0.3 0.12 0.4
The matrix you entered is:
0.15 0.875 0.375
0.55 0.005 0.225
0.3 0.12 0.4
It is a Markov matrix
Sample 2:
Here the values are entered in a matrix format by pressing enter after each 3rd value:
Enter a 3 by 3 matrix row by row:
0.15 0.875 0.375
0.55 0.005 0.225
0.30 0.120 0.400
The matrix you entered is:
0.15 0.875 0.375
0.55 0.005 0.225
0.3 0.12 0.4
It is a Markov matrix
Sample 3:
Enter a 3 by 3 matrix row by row:
0.5 0 0 -0.5 0.5 0 0 -0.5 1
The matrix you entered is:
0.5 0.0 0.0
-0.5 0.5 0.0
0.0 -0.5 1.0
It is not a Markov matrix
Sample 4:
Enter a 3 by 3 matrix row by row:
4 5 6
7 8 9
1 2 3
The matrix you entered is:
4.0 5.0 6.0
7.0 8.0 9.0
1.0 2.0 3.0
It is not a Markov matrix
Prosjekt-ID: #16474916
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