3.1 Spaces of Vectors

Without seeing vector spaces and especially their subspaces, you haven't understood everything about $Ax= b$

• Vector spaces

• Subspaces

• Column space

3.2 The Nullspace of $A$: Solving $Ax= 0$ and $Rx = 0$

• Nullspace

• Rank

3.3 The Complete Solution to $Ax = b$

• Use particular solution and special solutions to solve
• Review

3.4 Independence, Basis and Dimension

• Basis

• Row space

• Dimension

3.5 Dimensions of the Four Subspaces