Appendix A: Vectors and Linear Transformations

Appendix A: Vectors and Linear Transformations

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This appendix contains a short overview of the concept of vectors and linear transformations (dyadics) of vectors, and how these are represented in terms of their components. Transformations between different rotated coordinate systems are also reviewed as well as the corresponding transformation of the components of a dyadic. The appendix ends with a short overview of quaternions and their use to represent rotations.

Inspec keywords: vectors

Other keywords: linear transformations; vectors; dyadics; coordinate systems

Subjects: Algebra; Algebra; Algebra, set theory, and graph theory; Algebra

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