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Define the cartesian product

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Question: 1. Consider the Cartesian product A×B, where A,B are finite nonempty sets, each with cardinality greater than 1. There are two functions with domain A×B, called projections, with mapping rules p1(a, b) = a and p2(a, b) = b. What is the target space of p1? Of p2? Are either of p1, p2 one-to-one? Onto?

2. Let A = {0,1,2,3,4}×{0,1,2}, let B = {n | n is a positive factor of 144}, and let f : A → B with f(a1, a2) = 2a1 · 3a2 . Is f one-to-one? Onto?

Reference no: EM131584675

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