Lec11 - The Four Fundamental Subspaces: Applications to Graphs and Orthogonality

The 4 fundamental subspaces for an application in graphs and networks.; Application in electrical circuits. Decomposition of
rank r matrices as a sum of r rank 1 matrices; Inner Product Spaces, Orthogonality; Orthogonality of the four fundamental subspaces, Orthogonal complements, Combining basis from the nullspace and row space, column and left nullspacel; Summary.