University of Memphis
Dept Math Sciences
MATH 3242
Linear Algebra
Spring 2025
Dwiggins

Course Description (Syllabus)

Schedule of Lectures and Exams

WebAssign

Our Final Exam is scheduled for Thursday, May 8, 8:00-10:00 a.m.

Homework Assignment # 4 (Solutions):
• Review Exercises from the end of Chapter Seven:
• # 2, # 4, # 6, # 10, # 12, # 42, # 44

Practice Exercises from Chapter Seven:
• Section 7.1 (Eigenvalues and Eigenvectors): # 1, # 7, # 9, # 11, # 15, # 17, # 21, # 41, # 43, # 49
• Section 7.2 (Diagonalization): # 3, # 7, # 9, # 17, # 19, # 33
• Section 7.3 (Symmetric Matrices): # 19, # 27, # 33, # 37, # 43, # 45, # 47

Practice Exercises from Chapter Six:
• Section 6.1 (Linear Transformations): # 1, # 3, # 9, # 11, # 19, # 23, # 25, # 29
• Section 6.2 (Range and Kernel): # 9-15 odd, # 19-25 odd, # 47, # 53
• Section 6.3 (Matrix Representations for Transformations): # 1-15 odd, # 27-35 odd
• Section 6.4 (Similar Matrices): # 19, # 21
• Section 6.5 (Geometric Transformations): # 1-29 odd

Homework Assignment # 3 (Solutions for Chapter Four):
• Review Exercises from the end of Chapter Four:
• # 4, # 8, # 12, # 38, # 40, # 44, # 58
• Review Exercises from the end of Chapter Five:
• # 4, # 10, # 20, # 22, # 32, # 40, # 60

Practice Exercises from Chapter Five:
• Section 5.1 (Normed Linear Spaces): # 5-25 odd, # 35-51 odd
• Section 5.2 (Inner Product Spaces): # 5, # 9, # 15, # 27, # 65, # 67, # 69, # 73
• Section 5.3 (Orthonormal Bases): # 1-7 odd, # 19, # 21, # 25, # 29, # 67
• Section 5.4 (Orthogonal Subspaces): # 9, # 17, # 21
• Section 5.5 (Cross Products): # 5-19 odd, # 35, # 43, # 45, # 53

Practice Exercises from Chapter Four:
• Section 4.1 (Vector Spaces): # 7, # 9, # 13, # 17, # 43, # 47, # 51
• Section 4.2 (Linear Spaces): # 13, # 15, # 19, # 21, # 23, # 25
• Section 4.3 (Subspaces): # 7, # 15, # 17, # 29, # 37, # 41
• Section 4.4 (Linear Independence and Spanning Sets): # 1, # 5, # 9, # 15, # 19, # 23, # 29, # 31, # 33, # 53
• Section 4.6 (Rank and Null Space for a Matrix): # 7, # 9, # 11, # 15, # 23, # 27, # 31, # 35, # 41, # 43, # 49, # 57
• Section 4.7 (Coordinate Transformations): # 5, # 7, # 11, # 17, # 21, # 37, # 39

Homework Assignment # 2 (Solutions):
• Review Exercises from the end of Chapter Three:
• # 6, # 8, # 10, # 12, # 20, # 22,
  # 30, # 32, # 40, # 60, # 62, # 64

Practice Exercises from Chapter Three:
• Section 3.1 (Determinants): # 5-11 odd, # 19-27 odd, # 49, # 51
• Section 3.2 (Elementary Operations): # 1-15 odd, # 25-31 odd
• Section 3.3 (Properties of Determinants): # 19-33 odd
• Section 3.4 (Adjoints and Cramer's Rule): # 1-17 odd

Practice Exercises from Chapter Two:
• Section 2.1 (Matrices): # 5, # 7, # 15, # 17, # 21, # 37, # 39, # 43, # 51
• Section 2.2 (Matrix Operations): # 13, # 23, # 25, # 27, # 29, # 41
• Section 2.3 (Inverse Matrices): # 1, # 5, # 9, # 11, # 13, # 17, # 45, # 47
• Section 2.4 (Elementary Matrices): # 9, # 11, # 43, # 45, # 47

Practice Exercises from Chapter One:
• Section 1.1 (Systems of Linear Equations): # 25-33 odd, # 37-49 odd, # 55, # 65, # 73
• Section 1.2 (Augmented Matrix Methods): # 7-17 odd, # 27-33 odd
• Section 1.3 (Applications): # 1-7 odd, # 21, # 25

Homework Assignment # 1 (Solutions):
• Review Exercises from the end of Chapter One:
• # 20, # 32, # 48, # 66, # 72
• Review Exercises from the end of Chapter Two:
• # 4, # 8, # 10, # 12, # 14, # 18, # 20, # 22