Math 314 homework assignment #4
Practice problems for the midterm. You do not need to turn these in.
Topics for the midterm:
Vector spaces - definition and first properties (Section 1.1)
Fields, examples, Euclid's algorithm (lecture notes)
Examples of vector spaces (Section 1.1)
Constructions, spans, and linear conditions (Section 1.2, 1.7)
Spaces of linear maps, dual spaces (Sections 1.4, 8.1)
Bases and dimension, the fundamental lemma of linear algebra (Sections 1.2, 2.5, lecture notes)
Linear maps, matrix representation (Section 1.3)
Reading:
Read sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.7 and 2.5 from the book.
Here is a
PDF file of Homework 4
.