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Mathematics for Computer Scientists 2 (COMP1045 UNMC) (SPM1 24-25)

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The linearly independent set {(1, 1)} in R^2 can be extended to a basis by adding which vector?
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The identity element (neutral elements) of scalar multiplication axiom for a vector space V states that for the scalar 1 (the multiplicative identity in the field) and any vector u in V:
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Linear dependence of a set of vectors implies the existence of a linear combination equal to the zero vector with:
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Which of the following equations represents the associativity of addition axiom for vectors u, v, and w in a vector space V?
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Any set containing more than n vectors in R^n is always:
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The distributivity of scalar multiplication over vector addition axiom states that for a scalar a in scaler field K and vectors u and v in a vector space V:
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A set of vectors {v1, v2, ..., vk} in an n-dimensional vector space is linearly dependent if
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If dim(W1) = dim(V) and W1 is a subspace of V, then:
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Grassmann's Formula highlights the relationship between the dimensions of the sum and the:
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If a set of vectors in an n-dimensional vector space contains more than n vectors, then the set is
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