Linear Algebra -- EKU Graduate Course for Teachers

Syllabus

WHS Student Account Information

Notes

• Introduction to Vectors Part 1
• Introduction to Vectors Part 2
• Solving Linear Equations Part 1
• Solving Linear Equations Part 2
• Matrix Operations
• Matrix Inverses
• LU Decompositions
• Transpose
• Vector Spaces
• Vector Spaces Part 2
• October 12 Problem Solution
• Bases and Dimension
• Basis and Dimension of the Column Space, Row Space, and Null Space of a Matrix
• Rank, Row-Reduced Form, and Solutions to Ax=b
• Orthogonal Complements and Projections
• Determinants
• Diagonalizing a Matrix
• Eigenvalues and Eigenvectors
• Linear Transformations
• Jordan Canonical Form

Assignments

• Assignment 1
• Assignment 2
• Assignment 3
• Assignment 4
• Assignment 5
• Assignment 6
• Assignment 7
• Assignment 8
• Assignment 9
• Assignment 10
• Assignment 11
• Assignment 12