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Matrix Algebra for SSA

In: Multidimensional Similarity Structure Analysis

Author

Listed:
  • I. Borg

    (Justus-Liebig-Universität, Department of Psychology)

  • J. Lingoes

    (University of Michigan, Computing Center)

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.

Suggested Citation

  • I. Borg & J. Lingoes, 1987. "Matrix Algebra for SSA," Springer Books, in: Multidimensional Similarity Structure Analysis, chapter 17, pages 270-291, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4768-5_17
    DOI: 10.1007/978-1-4612-4768-5_17
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