In order to rank the five members of a school's chess team for play against another school,

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In order to rank the five members of a school's 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.
3 2. 4.

(a) Construct matrix A with elements

In order to rank the five members of a school's

(b) Construct matrix B with elements

(c) 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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