Textbook
Steven J. Leon. Linear Algebra with Applications. 9th Edition
Course Contents
1.1 Systems of Linear Equations
1.2 Row Echelon Form
1.3 Matrix Arithmetic
1.4 Matrix Algebra
1.5 Elementary Matrices
2.1 The Determinant of a Matrix
2.2 Properties of Determinants
2.3 The Adjoint of a Matrix
3.1 Vector Spaces - Definition and Examples
3.2 Subspaces
3.3 Linear Independence
3.4 Basis and Dimension
3.5 Change of Basis
3.6 Row Space and Column Space
4.1 Linear Transformations - Definition and Examples
4.2 Matrix Representations of Linear Transformations
6.1 Eigenvalues and Eigenvectors
6.3 Diagonalization