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