||Message]
Lesson Objectives
To introduce matrix representation in a vector space. To construct representation for vectors.
and operators.To present a solved example of matrix representation.
To discuss how components change when a different basis is chosen.
Syllabus
Matrix representation of vectors and linear operators w.r.t. a basis.
Relation between two matrix representations w.r.t. two different bases.
Prerequisites
General familiarity with about vectors, basis and linear operators.
\(\S1\) Matrix Representation w.r.t. a basis
\(\S2\) An example of constructing matrix representation
\(\S3\) Change of Basis
Reference:
Halmos P. R., "Finite Dimensional Vector Spaces
Exclude node summary :
n
Exclude node links:
0
0
