Geometric Algebra and Matrices

  • Miroslav Josipović
Part of the Compact Textbooks in Mathematics book series (CTM)


We know how to multiply unit vectors; therefore, we can try to find some objects to represent them. For vectors in Cl3, we need three parameters (three coordinates), and the geometric product is noncommutative. Consequently, we can choose matrices; 2 × 2 complex matrices will be enough. Matrices are a common choice for various representations.


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Supplementary material (520 kb)
Supplementary Material 1. Cl3spectral (ZIP 519 kb)

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Miroslav Josipović
    • 1
  1. 1.ZagrebCroatia

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