Null space and column space (K-A)

• Matrix vector products (K-A)
• Introduction to the null space of a matrix (K-A)
• Null space 2: Calculating the null space of a matrix (K-A)
• Null space 3: Relation to linear independence (K-A)
• Column space of a matrix (K-A)
• Visualizing a column space as a plane in R3 (K-A)
• Proof: Any subspace basis has same number of elements (K-A)
• Dimension of the null space or nullity (K-A)
• Dimension of the column space or rank (K-A)
• Showing relation between basis cols and pivot cols (K-A)
• Showing that the candidate basis does span C(A) (K-A)