Week 13 – April 6 – 10

Monday, April 6

  • Inner Product Spaces
Tonight’s Homework
  • Read Section 6.1
  • Homework: Section 6.1 # 2, 3, 8, 9

Tuesday, April 7

  • Inner Products and Norms
  • Orthogonal sets and orthonormal sets
  • Written homework 2 due today
Tonight’s Homework
  • Read Section 6.1
  • Begin reading Section 6.2
  • Homework: Section 6.1 # 10, 11, 17

Wednesday, April 8

  • The Gram-Schmidt Orthogonalization algorithm
  • The QR algorithm
Tonight’s Homework
  • Read Section 6.2
  • Homework: Section Section 6.2 # 2 a, c, 3
  • Handout #1

Friday, April 10

  • Orthogonal bases, orthogonal complements, and projections
Tonight’s Homework
  • Read Section 6.2
  • Homework: Section 6.2 # 1, 5
  • Handout #2, 3
  • Written Homework 3 due Tuesday: Use the Gram-Schmidt orthonormalization
  • process to obtain an orthonormal basis for the set
  • S = { (3,4,0,0), (-1,1,0,0), (2,1,0,-1), (0,1,1,0) }.
  • Use the vectors in the order they are given.