**Unformatted text preview: **Important concepts : Euclidean space, linear independence, span, subspaces, bases, dimension and coordinates. Important skills : Know how to determine whether subsets of R n are linearly in-dependent; know how to tell whether a given subset of R n is a subspace; know how to tell whether a set of vectors in R n spans a subspace; know how to compute the span of a set of vectors; know how to solve systems of linear equations; know how to determine bases for subspaces of Euclidean space; know how to compute dimensions of subspaces; know how to ﬁnd coordinates of vectors relative to ordered bases....

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- Spring '13
- Rumbos
- Math, Linear Algebra, Algebra, Linear Equations, Addition, Multiplication, Linear Independence, Scalar, Vector Space, Euclidean space, Theory of Linear Equations, 1.3 Spans