These are my notes over my review of Linear Algebra, going through Gilbert Strang’s Introduction To Linear Algebra. Introduction to Vectors# --- The core of linear algebra is vector addition and scalar multiplication. Combining these two operations gives us a set of linear combinations. $$ c\mathbf{v} + d\mathbf{w} = c\begin{bmatrix} 1 \\ 2 \end{bmatrix} + d\begin{bmatrix} 3 \\ 4 \end{bmatrix} = \begin{bmatrix} c + 3d \\ 2c + 4d \end{bmatrix}. $$
