2. Systems of linear equations, vector equations and matrix equations

In this chapter, 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