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Examen
Linear Algebra Definitions Exam Questions with correct Answers
Linear Algebra Definitions 
 
linear transformation - Answer-(from a vector space V into a vector space W): A rule T that assigns to each vector x in V a unique vector T(x) in W such that 
(i) T (u+v) = T(u) + T(v) 
(ii) T(cu) = cT(u) for all u in V and all scalars c 
 
standard matrix - Answer-for a linear transformation T: R^n -> R^m, there exists a unique matrix A such that T(x) = Ax for all x in R^n. This is called the standard matrix. 
 
A = [T(e1) ... T (en)] 
 
one-to-one - Answer-A ...