1. Linear algebra is the study of vectors and certain rules to manipulate vectors.
  2. Vectors meet two features: addition and multiplication by a scalar.
  3. Polynomials are also vectors.

2.1 Systems of Linear Equations

2.2 Matrices

Definition 2.1 (Matrix). With $n,m\in \mathbb{N}$, a real-valued $(m,n)$ matrix.