LINEAR ALGEBRA STUDY GUIDE (pdf)
The 6-page Linear Algebra study guide includes the following topics:
• System of linear equations
• Linear systems
• Row echelon forms
• Matrices
• Matrix multiplication
• Transposes of matrices
• Inverses of square matrices
• Determinants of square matrices
• Vector spaces
• Euclidian spaces
• Linear spans
• Subspaces
• Linear independence
• Inner products
• Orthogonality
• Orthogonal matrices
• Diagonalization
• Eigenvalues and Eigenvectors
• Linear transformation
• Equivalent conditions for invertible matrices
About the author
Victor Tan obtained a PhD in Mathematics from the University of California at Los Angeles (UCLA) and has since then been a Lecturer in the Department of Mathematics at the National University of Singapore (NUS). He has won many Teaching Excellence Awards at the faculty and university level. He has been teaching Linear Algebra for many years and is the co-author of a Linear Algebra textbook.
