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Chapter 4 Vector Spaces

There are three reasons for the double section reference:
  1. The section on Markov Chains appeared as Section 4.9 in older editions of the textbook and appears as Section 5.9 in the newest edition.
  2. I like covering Markov Chains before beginning Chapter 5 as it offers a nice segue.
  3. Pretext does not allow me to skip Chapter Numbers, so if I didn’t include this section in Chapter 4 (even though it is in Chapter 5), we would have a blank Chapter 4 which would be weird.