Linear Algebra (SH4)

Webwork link (Guidelines)

Notes (adapted from notes from Audrey and Sergio)

• Systems of Linear Equations
• Matrix Operations
• Determinants
• Applications of Determinants
• Introduction to Vectors
• Equations of Planes and Lines
• Intersections of Planes
• Linear Combinations and Spans
• Markov Chains
• The Leontief Closed and Open Models
• Cryptography
• The Simplex Method

General Worksheets

• Linear Systems
• Matrix Operations
• Determinants
• Vectors
• Lines and Planes
• Markov Chains
• Leontief Models
• Linear Programming
• Cryptography

Class Exercises

• Euclidean Space and Vectors
• Applications of Linear Combinations
• Cryptography

Practice Exams

• Practice Final 1
• Practice Final 2
• Practice Final 3

Past 105 Exams

• Dec 2021 (OMIT #5, #10-14) Note: This exam was easier/shorter
• Dec 2020 (OMIT #4-6, #7b, #8-10) Note: This exam was only 2hrs long
• Dec 2019 (OMIT #9, #13-17)
• May 2019 (OMIT #13-18)
• Dec 2018 (OMIT #9, #12c, #13b, #14, #15-18 )
• May 2018 (OMIT #7b, #8, #12-14, #16, #18-19)
• Dec 2017 (OMIT #8, #12, #17-18)
• May 2017 (OMIT #8b, #9, #12-16)