LAR A quick review of a first course

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Chapter 1 A quick review of a first course

As stated in the preface, these notes presume the reader has seen the material in a basic linear algebra course such as in [1], [2], or [3] at some point in their past. This first chapter is a rapid summary of the theory up to inner product spaces. It includes vector spaces and linear maps, span and linear independence, coordinates and the matrix of a linear map, the notions of rank and nulllity, and the basic results surrounding diagonalization. It ends with some examples showing how to leverage Sage to answer questions surrounding these basic ideas.

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