Programming Language: C++

Write a program with a language of your choice that checks whether a relation is reflexive, irreflexive, symmetric, anti-symmetric, asymmetric, and transitive. NOTE 1/ Your program must have functions for each check e.g. (I pick Java as an example) public static boolean isReflexive(int[][] matrix) public static boolean isIrreflexive(int[][] matrix) public static boolean isSymmetric(int[]] matrix) public static boolean isAntisymmetric(int[][] matrix) public static boolean isAsymmetric(int[][] matrix) public static boolean isTransitive(int][] matrix) 2/ Please submit the complete program to Beachboard under Lab 3 by 03/01/2018 at the beginning of class. 3/ You will demo your program during the lab 4/ Here is a sample run: (We assume that the user provides a square matrix with entries 0 or 1 only) Relation [Java Application] /Library/Java/JavaVirtualMachines/idk 1.8.0102.jdk/Contents/Home/bin/java (Oct 17, 2016, 12:21:09 PM) 00 01 010 0 REFLEXIVE? NO IRREFLEXIVE? YES SYMMETRIC? YES ANTISYMMETRIC? NO ASYMMETRIC? NO TRANSITIVE? NO