Week 13 – April 3 – 7

Monday, April 3

  • Inner product spaces
Tonight’s Homework
  • Read Section 6.1
  • Homework: Section 6.1 # 3, 8, 9

Tuesday, April 4

  • Inner product spaces and norms
  • Orthogonal sets and orthonormal sets
Tonight’s Homework
  • Read Section 6.1 and begin reading Section 6.2
  • Homework: Section 6.1 # 10, 11, 17

Wednesday, April 5

  • The Gram-Schmidt orthonormalization algorithm
  • The QR algorithm
Tonight’s Homework
  • Read Section 6.2
  • Homework: Section 6.2 # 2 a, c; 3
  • Homework: Do #1 on handout.

Friday, April 7

  • Orthogonal bases, orthogonal complements, and projections
Tonight’s Homework
  • Read Section 6.2
  • Homework: Section 6.2 # 1, 5
  • Homework: Do # 2, 3 on handout.
  • Written homework 3 due Tuesday: Use the Gram-Schmidt orthonormalization algorithm
    to obtain an orthonormal basis for the set { (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.