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