Lecture 17
Special matrices continued: symmetric matrices.
Lecture 18
Matrix factorisation ie LU decomposition: method and examples. Using LU decompostion to solve systems of linear equations. Crout's algorithm.
Lecture 19 and 20
Definition of row and column spaces. Theorem: Rank(A)=dim R(A) = dim C(A). Finding bases for the row and column spaces of a matrix. Nullspaces.