Inverting Linear Transformations As Best We Can: The Pseudoinverse of a Matrix
Eenigenburg, Jon Paul
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Given that invertibility is such a key concept in algebra, any student of the subject should be aware that singularity is not the end of the world; however, this paper was intended for readers that have completed a second course in linear algebra. Examples are included throughout to add clarity to the ideas, and the reader is encouraged to think about each problem thoroughly before reading its solution. Likewise, although proofs of every theorem are given, it would prove worthwhile for the reader to consider alternative arguments, as those supplied are surely not unique, and not always the most efficient.