Topic: Fundamental Subspaces and Rank

Rank of Block Diagonal Matrices

Rank of a Sum and Its Sharp Bound

Rank of a Transpose

Rank Invariance Under Invertible Multiplication

Rank Factorization Worked Problems

Pivot Counts as a Measure of Rank

Parametrizing the Null Space

Nullity and the Number of Free Variables

Null Space and Dependencies Among Columns

Left Null Space and Transposed Systems