In this chapter we introduce geometry to more general vector spaces in a way similar to the geometric reasoning possible in \(\mathbb {R}^n\) using dot product. Orthonormal bases and various generalizations of the Gram-Schmidt procedure are discussed.

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Bilinear and Sesquilinear Forms

  • Lawrence Susanka

摘要

In this chapter we introduce geometry to more general vector spaces in a way similar to the geometric reasoning possible in \(\mathbb {R}^n\) using dot product. Orthonormal bases and various generalizations of the Gram-Schmidt procedure are discussed.