If A is a matrix, then the rank of A plus the nullity of A equals the number of columns of A.

math.la.t.mat.ranknullity


Students answer multiple questions on the rank and dimension of the null space in a variety of situations to discover the connection between these dimensions leading to the Rank-Nullity Theorem.

Created On
June 9th, 2017
3 years ago
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2
Type
 Handout
Timeframe
 In-class
Language
 English
Content Type
text/html; charset=utf-8

Almost every vector space we have encountered has been infinite in size (an exception is Example VSS). But some are bigger and richer than others. Dimension, once suitably defined, will be a measure of the size of a vector space, and a useful tool for studying its properties. You probably already have a rough notion of what a mathematical definition of dimension might be — try to forget these imprecise ideas and go with the new ones given here.

License
GFDL-1.2
Submitted At
September 11th, 2017
 3 years ago
Views
3
Type
 Textbook
Language
 English
Content Type
text/html