MATH 423
Linear Algebra II
Lecture 2:
Vector spaces: examples and basic properties.
Vector space
A vector space is a set V equipped with two
operations, addition
V V (x, y) x + y V
and scalar multiplication
R V (r , x) r x V ,
that have the following prop
MATH 423
Linear Algebra II
Lecture 3:
Subspaces of vector spaces.
Review of complex numbers.
Vector space over a eld.
Vector space
A vector space is a set V equipped with two operations,
addition V V (x, y) x + y V and scalar
multiplication R V (r , x) r
MATH 423
Linear Algebra II
Lecture 1:
Classical vectors.
Vector space.
Classical vectors
Vector is a mathematical concept characterized by
its magnitude and direction.
Scalar is a mathematical concept characterized by
its magnitude and, possibly, sign.
Sc