Unit 3 · Orthogonality and Least Squares

Chapter 3.3

Gram-Schmidt and A = QR

Orthonormal bases make everything cheap — projections lose their inverses. Gram-Schmidt manufactures one, and A = QR records the manufacture.

11–15 min · in preparation · lesson 11 of 21

By the end

  1. 01Orthonormalize a set of vectors with Gram-Schmidt
  2. 02Factor A into QR
  3. 03Explain why orthonormal columns simplify least squares

In unit 3

  1. 3.1Orthogonality and Projections12–16
  2. 3.2Least Squares12–16
  3. 3.3Gram-Schmidt and A = QR11–15
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