Book: Elementary Linear Algebra, applications version, 7th edition; by Howard Anton

this is not the school's text book - as usual

Chapter 7 - Eigenvalues, Eigenvectors

• Eigenvalues and Eigenvectors
• Diagonalization
• Orthogonal Diagonalization

Chapter 8 - Linear Transformations

• General Linear Transformations
• Kernel and Range
• Inverse Linear Transformations
• Matrices of General Linear Transformations
• Similarity