Abstract
The study of the geometry of Lagrangian mechanics requires that one be familiar with basic concepts in abstract linear and multilinear algebra. The reader is expected to have encountered at least some of these concepts before, so this chapter serves primarily as a refresher. We also use our discussion of linear algebra as a means of introducing the summation convention in a systematic manner. Since this gets used in computations, the reader may wish to take the opportunity to become familiar with it.
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© 2005 Springer Science+Business Media New York
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Bullo, F., Lewis, A.D. (2005). Linear and multilinear algebra. In: Geometric Control of Mechanical Systems. Texts in Applied Mathematics, vol 49. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-7276-7_2
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DOI: https://doi.org/10.1007/978-1-4899-7276-7_2
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1968-7
Online ISBN: 978-1-4899-7276-7
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