# Properties of Dimension - A First Course in Linear Algebra

Once the dimension of a vector space is known, then the determination of whether or not a set of vectors is linearly independent, or if it spans the vector space, can often be much easier. In this section we will state a workhorse theorem and then apply it to the column space and row space of a matrix. It will also help us describe a super-basis for $$\complex{m}\text{.}$$

GFDL-1.2
Submitted At
September 11th, 2017
5 years ago
Views
2
Type
Textbook
Language
English
Content Type
text/html