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A. sports league consists of 3 teams: The Sharks {S} The Eels (E) and The Whales {W}. Here are Ihe results of the six games

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A. sports league consists of 3 teams: The Sharks {S} The Eels (E) and The Whales {W}. Here are Ihe results of the six games played by the league this season: Game 1: The Eels lost to The Sharks. Game 4: The Sharks lost to The Whales. Game 2: The Whales lost to The Eels. Game 5: The Eels lost to The Whales. Game 3: The Sharks lost to The Eels. Game s: The Whales lost to The Sharks. a} Give the matrix A associated with the results of this league. h} Find the eigenvalues of A. Show all your work and calculations. c} Find an eigenvector for the dominant eigenvalue of A. From this, give the respective team ranking

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