We use projection when
- Ax=b may have no solution.
- b is not in the Column Space of A
- Solve $A\hat{x}=p$ projection p instead of b onto the Column Space.
#Projection in 2 Dimensions
Projection p will be some multiple of a. Call it p = xa. Find x.
#Example
#Projection in 3 Dimensions
Pivots and Multipliers