MATH 4570 - Advanced Linear Algebra

Class information:

Homework:

 

HW 1

  • Do the problems from here.
    The solutions are here.

 

 

 

 

HW 2

  • Do the problems from here.
    The solutions are here.

     
  • Also do HW 7 #1--8 from my MATH 2550 website.  
    The solutions are on the 2550 website.

    Note: In the Math 2550 HW, P_n means P_n(R) and
    M_2,2 means M_2,2(R) where R is the set of real numbers.

 

HW 3

  • Do the problems from here.
    The solutions are here.

     
  • Also do HW 10 # 1--2 from my MATH 2550 website.

    The solutions are on the 2550 website.

    Note: In the Math 2550 HW, P_n means P_n(R) and M_m,n means M_m,n(R).

 

 

 

HW 4

  • Do the problems from here.
    The solutions are here.

     
  • Also do HW 10 # 3--8 from my MATH 2550 website.

    The solutions are on the 2550 website.

    Note: In the Math 2550 HW, P_n means P_n(R).

 

Review of Determinants

 

  • For review, do HW 5 from my MATH 2550 website.
    The solutions are on the 2550 website.


HW 5

  • Do the problems from here.
    The solutions are here.


HW 6

  • Do the problems from here.
    The solutions are here.

 

My Notes:

  • Part 1 - Vector spaces and subspaces
  • Part 2 - Spanning sets, linear independence, bases, and dimension
  • Part 3 - Linear transformations
     
  • Part 4 - The matrix of a linear transformation
    Extra: Here is a picture that give a summary of part 4.

     
  • Review - A review of determinants
     
  • Part 5 - Eigenvalues, eigenvectors, and diagonalization
    Extra: Motivation: pic 1, pic 2.   This goes at page 75 in the notes.  
    Extra: In class we redid the theorem on pgs 77-78.   Here are the pics: pic 1, pic 2, pic 3, pic 4

     
  • Part 6 - Inner product spaces
  • Part 7 - A few final comments about diagonalization on inner product spaces

​Test solutions:

Online Resources: