Given an adjacency matrix A = [ [0, 1, 1], [1, 0, 1], [1, 1, 0] ], The total no. of ways in which every vertex can walk to itself using 2 edges is ________(a) 2(b) 4(c) 6(d) 8I need to ask this question from Adjacency Matrix topic in division Graph of Data Structures & Algorithms IThis question was addressed to me in an international level competition.

Given an adjacency matrix A = [ [0, 1, 1], [1, 0, 1], [1, 1, 0] ], The

1.	Given an adjacency matrix A = [ [0, 1, 1], [1, 0, 1], [1, 1, 0] ], The total no. of ways in which every vertex can walk to itself using 2 edges is ________(a) 2(b) 4(c) 6(d) 8I need to ask this question from Adjacency Matrix topic in division Graph of Data Structures & Algorithms IThis question was addressed to me in an international level competition.
Answer» RIGHT CHOICE is (c) 6 Easy explanation - A^2 = [ [2, 1, 1], [1, 2, 1], [1, 1, 2] ], all the 3 vertices can reach to themselves in 2 ways, hence a total of 3*2, 6 ways.

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