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Problem 2: Consider the function f: R³ R³ defined by f(2₁, 22, 23) = (271-73. I₂ +1₁, -7₁). - This function thus has a three dimensional input and a three dimensional output. Now let S = {Z < R³ | f(z)=0}. Prove that S is a subspace of R³. Note: In the future when we have developed more concepts we will rephrase proble
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