Linear Algebra/Notation

Linear Algebra
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NotationEdit

 ,  ,   real numbers, reals greater than  , ordered  -tuples of reals

 

natural numbers:  

 

complex numbers

 

set of . . . such that . . .

 ,  

interval (open or closed) of reals between   and  

 

sequence; like a set but order matters

 

vector spaces

 

vectors

 ,  

zero vector, zero vector of  

 

bases

 

standard basis for  

 

basis vectors

 

matrix representing the vector

 

set of  -th degree polynomials

 

set of   matrices

 

span of the set  

 

direct sum of subspaces

 

isomorphic spaces

 

homomorphisms, linear maps

 

matrices

 

transformations; maps from a space to itself

 

square matrices

 

matrix representing the map  

 

matrix entry from row  , column  

 

determinant of the matrix  

 

rangespace and nullspace of the map  

 

generalized rangespace and nullspace

Lower case Greek alphabetEdit

 

About the Cover. This is Cramer's Rule for the system  ,  . The size of the first box is the determinant shown (the absolute value of the size is the area). The size of the second box is   times that, and equals the size of the final box. Hence,   is the final determinant divided by the first determinant.

Linear Algebra
 ← Cover Notation Introduction →