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= Question 2 Suppose that a and b are n-vectors with boolean entries (each entry is either 0 or 1). We have a group

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= Question 2 Suppose that a and b are n-vectors with boolean entries (each entry is either 0 or 1). We have a group of n squirrels, each assigned a number 1,..., n. Vector a encodes the friendships of squirrel Atto with this group, i.e. an entry ai : 1 denotes that Atto (squirrel 1) is friends with squirrel i. Vector b is similar, but for squirrel Besso (squirrel 2). In this scenario, a squirrel is not considered to be friends with themselves. This means that a for Atto is 0 and b2 for Besso is 0. (a) (5 points) Express the number of friends Atto and Besso have in common in terms of vectors a and b. (b) (2 points) Using an inner product, describe how you would determine who has more friends between Atto and Besso. (c) (5 points) Use a and b to expression the number of friends Besso has that Atto doesn't.

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