Prerequisite Materials for Math 121A
A review of proof by inductions as well as quantifiers and their
- Row Operations
Covers the elementary row operations on matrices, row
echelon form, reduced row echelon form, and solving matrix equations using
Defines subspaces of Rn and gives some examples and
non-examples of subspaces.
Reviews the ideas of linear independence, spanning, and basis.
Includes concept of dimension of subspaces and how to determine these
Covers eigenvalues, eigenvectors, and eigenspaces along with
how to determine each one from a given matrix.
Describes what it means to be a diagonalizable matrix
and how to diagonalize certain types of matrices, including an application