1. Linear Combination
Two linear operations of vectors:


Linear combination:

2.Geometric Explainations
2D case

3D case:for 3 vectors u,v,w,the important questions are

the common answers are:


3. From Linear Equations to Linear Combinations:
a.Row picture: intersection of planes or lines



b.Column picture: find combinations of column vectors to generate b


4.Matrix form for Ax=b

