(a) Know what it means for a subset U of vectors in R^n to be a subspace. When is U not a subspace? How do you know? When is a vector a linear combination of a set of vectors? (b) Determine whether a given vector u in R^n is in span {x_1, x_2, ..., x_k}. Why is span {x_1, x_2, ..., x_k} called the smallest subspace of R^n containing the xi's?

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