Math 54, Quiz 4 Section 101 GSI CarterName:1. Let S = {(x, y, z) ∈ R3| x + y + z ∈ Z}.(a) Is S closed under addition?(b) Is S closed under scalar multiplication?(c) Is S a subspace of R3?12. Find a basis for, and the dimension of, NS(A).A =1 3 0 5−1 0 2 1−1 3 4
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