Homework for Basis

1. Linear Independence

• How to determine when a set of vectors is linearly dependent or linearly independent
• How to produce a linear dependence relation for a set of linearly dependent vectors

• Examples:
  • From http://linear.pugetsound.edu/html/section-LI.html , read Example LDS, Example LIS, Example LIHS, Example LDHS, Example LDRN, and Example LLDS.
  • From http://linear.pugetsound.edu/html/section-LISS.html , read Example LIP4 and Example LIM32.
• Homework:
  • From http://linear.pugetsound.edu/html/section-LI.html , do Reading Questions 1, 2, and 3, and Exercises LI.C20, LI.C21, LI.C22, LI.C23, LI.C24, and LI.C25.
  • From http://linear.pugetsound.edu/html/section-MO.html , do Exercises MO.M21 and MO.M22.
  • From http://linear.pugetsound.edu/html/section-LISS.html , do Exercises LISS.C20, LISS.C22, and LISS.C24.

2. Basis

• How to determine when a set of vectors is a basis
• How to produce a basis for a null space

• Examples:
  • From http://linear.pugetsound.edu/html/section-LI.html , read Example LINSB.
  • From http://linear.pugetsound.edu/html/section-B.html , read Example BP, Example BSP4, and Example BSM22.
• Homework:
  • From http://linear.pugetsound.edu/html/section-LI.html , do LI.C30, LI.C31, LI.C32, and LI.C33.
  • From http://linear.pugetsound.edu/html/section-B.html , do Exercises B.C10, B.C11, B.C12, B.C13, and B.C14.