Week 9 – February 27 – March 3

Monday, February 27

  • Elementary matrices
Tonight’s Homework
  • Read Section 3.1
  • Homework: Section 3.1 # 1, 2, 3; Section 3.2 # 2
  • Written homework 1 due Wednesday at beginning of class

Tuesday, February 28

  • Rank
Tonight’s Homework
  • Read Section 3.2
  • Homework: Section 3.2 # 2, 7

Wednesday, March 1

  • Inverse of a matrix
  • Written homework 1 due today
Tonight’s Homework
  • Read Section 3.2
  • Homework: Section 3.2 # 5
  • Homework: Let A be an m x n matrix. Prove that
    N(A) is a subset of N(AtA)

Friday, March 3

  • More on inverses
  • Begin Section 3.3: Systems of linear equations
  • Happy Spring Break!
Tonight’s Homework
  • Begin to read Section 3.3
  • Homework: Section 3.2 # 1, 6
  • Let A be an m x n matrix, m not equal to n. Explain why
    either the row vectors or the column vectors are linearly dependent.