Abstract
A systematic introduction to matrix algebra is given, starting with the solution of a linear equation system. It is seen that the Gauss algorithm decomposes a scalar-product matrix B into the product XX’. If X is real, it is a solution to the representation problem for scalar products. The coordinates in X can then be rotated in some way. Another decomposition, which leads directly to coordinates relative to principal components, is closely related to the algebraic eigenvalue problem.
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© 1987 Springer-Verlag New York Inc.
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Borg, I., Lingoes, J. (1987). Matrix Algebra for SSA. In: Multidimensional Similarity Structure Analysis. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4768-5_17
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DOI: https://doi.org/10.1007/978-1-4612-4768-5_17
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9147-3
Online ISBN: 978-1-4612-4768-5
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