MATH 462, Homework 1, problems announced in class.
1. Prove that the set cfw_0,1 with the operations of addition and multiplication modulo 2 is a field. [Correction: the
correct notation for this field is GF(2), not GL(2) as announced in class; the latter
MATH 462, Review for the Final Exam
Course topics
I. Vector Spaces
1. Axioms of the vector space (1.2)
2. Subspaces (1.3)
3. Linear combinations, systems of linear equations (1.4)
4. Linear dependence and linear independence (1.5)
5. Bases and dimension (
MATH 462, Review for Midterm Test 1
Test coverage
I. Vector Spaces
1. Axioms of the vector space (1.2)
2. Subspaces (1.3)
3. Linear combinations, systems of linear equations (1.4)
4. Linear dependence and linear independence (1.5)
5. Bases and dimension (
MATH 462, Review for Midterm Test 2
Test topics
I. Linear transformations and matrices
4. Invertibility and isomorphisms (2.4)
5. Change of coordinates for vectors and linear transformations (2.5)
II. Determinants
1. Determinants of order n: definition an