This preview shows page 1. Sign up to view the full content.
Unformatted text preview: X (e.g. C ([0 , 1]) is the set of continuous function on [0,1]) Common Linear Algebra Notation: [ a i,j ] a matrix whose ( i,j ) th entry is a i,j δ i,j the Kronecker delta function; that is δ i,j = 0 if i 6 = j and δ i,j = 1 if i = j F n the set of ntuples with entries in a ﬁeld F I n , n the n × n identity and zero matrices I V , V the identity and zero operators on a vector space V L ( V , W ) the space of linear maps from V to W M n,m ( F ) the set of n × m matrices with entries in F N ( T ) the kernel of a linear map T R ( T ) the range of a linear map T span( S ) the span of a set of vectors S [ T ] γ β the matrix of a linear map T : V → W with respect to the basis β of V and the basis γ of W...
View
Full
Document
This note was uploaded on 04/09/2012 for the course MATH 172a taught by Professor Kong,l during the Fall '08 term at UCLA.
 Fall '08
 Kong,L
 Math, Linear Algebra, Algebra

Click to edit the document details