|Feb27-09, 12:09 PM||#1|
Subspace spanned by a vector
What would the subspace spanned by a single vector (for example) f(x)=x+1 be?
|Feb27-09, 12:29 PM||#2|
The subspace spanned by a vector is the set of all scalar multiples of that vector. A function like f(x)=x+1 is a "vector" in some function space, most likely over the real or complex numbers, so the answer is all functions of the form g(x)=a*(x+1), where a is an element of the scalar field (R or C).
|Similar Threads for: Subspace spanned by a vector|
|More linear algebra - Perpindicular Line spanned by a vector||Calculus & Beyond Homework||3|
|Vector subspace||Calculus & Beyond Homework||6|
|Zero vector in subspace||Precalculus Mathematics Homework||1|
|Zero vector of a subspace||Linear & Abstract Algebra||5|
|LINEAR ALGEBRA: Orthogonal projeciton of  onto the subspace of R3 spanned by , ||Calculus & Beyond Homework||0|