​In Order to Rank the Five Members of Its Chess

question 135

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?
​

• A)​player 3
• B)​player 2
• C)​player 5
• D)​player 1
• E)​player 4

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A method of expressing numbers as a product of a coefficient and a power of 10, simplifying how very large or very small numbers are represented.

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Scientific Notation

A way of expressing numbers that are too big or too small to be conveniently written in decimal form, using powers of ten.