linear systems
Complete
Summary
Inconsistent
- No solutions
Consistent
- Exactly one solution
- Infinitely many solutions
Concept
Linear equation in standard form
Collection of linear equations
a linear system is homogeneous when all b=0
General solution
- Needed when there are infinite solutions, the variables are expressed in terms of parameters
Application
Consistent systems (one solution)
Consistent systems (infinite solutions)
Inconsistent systems