A First Course in Linear Algebra: (Beta Version)

Appendix DL Definitions

Section SSLE Solving Systems of Linear Equations

Section RREF Reduced Row-Echelon Form

Section TSS Types of Solution Sets

Section HSE Homogeneous Systems of Equations

Section NM Nonsingular Matrices

Section VO Vector Operations

Section LC Linear Combinations

Section SS Spanning Sets

Section LI Linear Independence

Section O Orthogonality

Section MO Matrix Operations

Section MM Matrix Multiplication

Section MISLE Matrix Inverses and Systems of Linear Equations

Section MINM Matrix Inverses and Nonsingular Matrices

Section CRS Column and Row Spaces

Section FS Four Subsets

Section VS Vector Spaces

Section S Subspaces

Section LISS Linear Independence and Spanning Sets

Section B Bases

Section D Dimension

Section DM Determinant of a Matrix

Section EE Eigenvalues and Eigenvectors

Section SD Similarity and Diagonalization

Section LT Linear Transformations

Section ILT Injective Linear Transformations

Section SLT Surjective Linear Transformations

Section IVLT Invertible Linear Transformations

Section VR Vector Representations

Section MR Matrix Representations

Section CB Change of Basis

Section OD Orthonormal Diagonalization

Section CNO Complex Number Operations

Section SET Sets