Markov matrix Program Plan: Include the package “java.util.Scanner” into program. Define the class named “Exercise08_25”. Define the main method. Define the scanner object “obj” to get input from user. Declare and initialize a final variable “N” in type of integer. Prompt the user and declare the two dimensional variable “arr” in type of “double”. Using “for” loops, get input values for array “arr[][]”. Call the method “isMarkovMatrix()” which pass the “arr” as argument in “if” condition. Print appropriate statement on screen. Define the “isMarkovMatrix()” Boolean method which pass two dimensional array “m[][]” as argument. Using “for” loops and “if” condition, check the value of “m[][]” is less than “0”. If the condition is true, return “false”. Using “for” loop, add column values of matrix and return “true” if the value of “tot” equal to “1”. Otherwise return “false” to calling function.

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Chapter 8, Problem 8.25PE

Program Plan Intro

Markov matrix

Program Plan:

Include the package “java.util.Scanner” into program.

Define the class named “Exercise08_25”.

Define the main method.

Define the scanner object “obj” to get input from user.

Declare and initialize a final variable “N” in type of integer.

Prompt the user and declare the two dimensional variable “arr” in type of “double”.

Using “for” loops, get input values for array “arr[][]”.

Call the method “isMarkovMatrix()” which pass the “arr” as argument in “if” condition.

Print appropriate statement on screen.

Define the “isMarkovMatrix()” Boolean method which pass two dimensional array “m[][]” as argument.

Using “for” loops and “if” condition, check the value of “m[][]” is less than “0”.

If the condition is true, return “false”.

Using “for” loop, add column values of matrix and return “true” if the value of “tot” equal to “1”. Otherwise return “false” to calling function.

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An n x n matrix is called a positive Markov matrix if eachelement is positive and the sum of the elements in each column is 1. Write thefollowing method to check whether a matrix is a Markov matrix:public static boolean isMarkovMatrix(double[][] m) Write a test program that prompts the user to enter a 3 x 3 matrix of doublevalues and tests whether it is a Markov matrix. Here are sample runs: Enter a 3−by−3 matrix row by row:0.15 0.875 0.375 ↵Enter0.55 0.005 0.225 ↵Enter0.30 0.12 0.4 ↵EnterIt is a Markov matrix Enter a 3−by−3 matrix row by row:0.95 −0.875 0.375 ↵Enter0.65 0.005 0.225 ↵Enter0.30 0.22 −0.4 ↵EnterIt is not a Markov matrix