Linear Algebra & Its Applications Ch4.2: Null Space,Column Space,Row Space & Linear Transformations

This video covers Linear Algebra & Applications: Null Spaces, Column Space, Row Space And Linear Transformations. Topics include
- Definition of a Vector Space with Several Examples:
- the Null Space, a subspace of Rn
- the Column Space, a subspace of Rm
- the Row Space
- Comparison of the Null and Column Space (Rn vs Rm)
- Linear Transformations and the Kernel and Range
- several examples worked in detail
- recommended book: Linear Algebra and Its Applications by David D Lay, Steven R Lay, and Juhi J. McDonald, and Introduction to Linear Algebra by Johnson/Riess/Arnold