2. Systems of Linear Equations, Vector Equations and Matrix Equations

In this section, we see how several linear equations can be solved at once. In particular, we will see that such a system of linear equations corresponds to a matrix-vector equation. We will discuss redundancy of vectors.

• 2.1. Systems of Linear Equations
• 2.2. Linear Combinations
• 2.3. The Solution Set of a System of Linear Equations
• 2.4. The Matrix-Vector Product \(A\vect{x}\)
• 2.5. Linear Independence