### Graded Assignment 1: Definitions and Computational Review

Prepare a 15-20 minute presentation on the definitions and computations
related to your topic, including examples. Topics will be assigned
randomly but you may trade topics.
Vector Addition, Scalar Multiplication, Dot Product and the
Length of a Vector
Matrix Multiplication
Matrix Inversion
Gaussian Elimination Method
Checking if a Set with 2 Operations is a Vector Space
Linear Independence, Span, Basis and Dimension
Determinants of 2x2 and 3x3 matrices and the
expansion method (Laplaces' formula)
Eigenvalues and Eigenvectors
Equations of Lines and Planes in 3-D

If more people join the class:
Cramer's Rule
Subspaces in R^{2} and R^{3}
Orthogonal Matrix
Gram-Schmidt process in R^{2} and R^{3}