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OpenStudy (anonymous):
Let F = Z3, and let W = { (a1, a2, a3, a4, a5) ∈ F5 | a1 + a5 = 0, a2 + 2a4 = 0 } (so that W is the set of all solutions to a homogeneous system of linear equations with coefficients from Z3 and is therefore a subspace of F5). Find a basis for W, and determine dim(W).
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