​In Order to Rank the Five Members of Its Chess

Multiple Choice

​In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2. ​​ Let matrix A represent the matrix with the following elements: .
Let matrix B represent the matrix with the following elements: .
The player i is the top-ranked player if the sum of row i in the matrix A + B is the largest. What is the number of this player?
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A) ​player 3
B) ​player 2
C) ​player 5
D) ​player 1
E) ​player 4