Null space and column space

Null space 2: Calculating the null space of a matrix

Matrix vector products

Introduction to the null space of a matrix

Null space and column space basis

Null space 3: Relation to linear independence

Column space of a matrix

Visualizing a column space as a plane in R3

Dimension of the column space or rank

Proof: Any subspace basis has same number of elements

Dimension of the null space or nullity

Showing relation between basis cols and pivot cols