Systems of Linear Equations #
A linear system can be written compactly as:
\[ Ax=b \]Consistency of Linear Systems #
Consider a system of linear equations written in matrix form:
\[ A\mathbf{x} = \mathbf{b} \]- (A) → Coefficient matrix
- ([A | b]) → Augmented matrix
What you should know #
- Consistent vs inconsistent systems
- Unique vs infinitely many solutions
- Geometric interpretation (lines/planes)