Linear Algebra for Beginners: Open Doors to Great Careers

Examples of Finding Transition Matrices

Change of Basis

Coordinates

Dimension

Basis

Determining Linear Independence or Dependence

Linear Independence

Span of a Subset of a Vector Space

Span

Subsets that are Not Subspaces: Additional Example

Subsets that are Not Subspaces

Additional Example of Subspace

Definition of Trivial and Nontrivial Subspace

Subspace Definition and Subspace Properties

Examples of Sets that are Not Vector Spaces

Vector Space: Additional Example Continued

Vector Space: Additional Example

Vector Space Example: Continued

Vector Space Example

Vector Space Definition