Abstract
So far, our theoretical investigation has been dealing mostly with abstract vectors and abstract operators. As we have seen in examples and problems, concrete representations of vectors and operators are necessary in most applications. Such representations are obtained by choosing a basis and expressing all operations in terms of components of vectors and matrix representations of operators.
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Notes
- 1.
The matrix (A|1) denotes the n×2n matrix obtained by juxtaposing the n×n unit matrix to the right of A. It can easily be shown that if A, B, and C are n×n matrices, then A(B|C)=(AB|AC).
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© 2013 Springer International Publishing Switzerland
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Hassani, S. (2013). Matrices. In: Mathematical Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-01195-0_5
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DOI: https://doi.org/10.1007/978-3-319-01195-0_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01194-3
Online ISBN: 978-3-319-01195-0
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