Big Ideas about Vectors

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Learning Outcomes

After completing this chapter, students should be able to do the following.

Express vectors as linear combinations of other vectors in $\RR ^n$ in both algebraic and geometric settings.
Interpret a system of linear equations as an expression of one vector as a linear combination of other vectors in $\RR ^n$.
Describe the span of a set of vectors in $\RR ^n$.
Determine linear independence / dependence of a set of vectors in $\RR ^n$.