Mathematics for Computer Scientists 2 (COMP1045 UNMC) (SPM1 24-25)
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The image of a linear mapping T: V -> W is always a subspace of:
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If a set of vectors S spans a vector space V and is linearly independent, then S is a:
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A basis of a subspace W of a vector space V is a set of vectors that:
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If W1 and W2 are subspaces of a vector space V, then their sum W1 + W2 = {w1 + w2 | w1 ∈ W1, w2 ∈ W2} is
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Is the linear mapping T: R^2 -> R^2 defined by T(x, y) = (x + y, x + y) surjective?
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The core idea of Steinitz' Lemma is that:
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Which of the following sets of vectors in R^3 is linearly dependent?
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In R^2, the intersection of two distinct lines passing through the origin is:
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The dimension of the vector space R^n is:
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If a set of vectors S is linearly independent, then any non-empty subset of S is:
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