Linear Algebra, A Quick Introduction: 2.5.1 Null Space And Range

The Quick Introduction to Linear Algebra Playlist is my attempt to overview many important topics in Linear Algebra in a total of 5 hours or less.

Who did I make this series for? people who are not taking linear algebra but need to use some techniques from linear algebra. This is a good starting point to get a quick introduction before investigating details of the particular application.

Who this series of video is NOT for:
- math majors needing a Linear Algebra Class; there are no proofs of theorems and this series does not even cover the fundamental theory of Linear Algebra!
- It is not meant to be a comprehensive review of a full Linear Algebra Class for anyone. Many important topics are skipped outright.

Topics will include
- Systems of Linear Equations (part 1.1)
- Gaussian Elimination (part 1.1)
- Use of Matrices to Represent Systems of Linear Equations (part 1.1)
- Matrix Operations (part 1.2)
- Linear Combinations of Vectors (part 1.2)
- Linear Independence (part 1.2)
- Vectors Review (part 2.1)
- General Vector Spaces (part 2.2)
- Subspaces (2.3)
- Span of Vectors (part 2.3)
- Basis and Dimension (part 2.4)
- Linear Transformations (part 2.5)
- Null Space and Range (part 2.5.1)
- Vector Coordinates (part 2.5.2)
- Change of Basis (part 2.5.3)
- Eigenvectors and Eigenvalues (part 3)