Intuitive Guide to Linear Algebra
Introduction
1
Systems of Linear Equations
1.1
A Linear System of Equations
1.2
Solving Systems of Equations
1.2.1
Substitution
1.2.2
Elimination
1.3
Consistent and Inconsistent Systems of Equations
1.4
Homogeneous Systems:
1.5
Variable, Equation and Constraint Counting
1.5.1
Undetermined Systems
1.5.2
Determined Systems
1.5.3
Overdetermined Systems
1.6
Constraints vs Equations
1.6.1
Underdetermined and Inconsistent
1.6.2
Underdetermined and Consistent
1.6.3
Determined and Inconsistent
1.6.4
Determined and Consistent
1.6.5
Overderdetermined and Inconsistent
1.6.6
Overderdetermined and Consistent
An Intuitive Guide to Linear Algebra
Chapter 1
Systems of Linear Equations