Let V be a vector space over F and W be a vector space over G, and let L(V->W) denote the set of all linear transformations mapping V to W. Recall that a set of linear transformations such as L here is itself a vector subspace of all functions mapping from V to W. What field is the vector space L over?
Let V be a vector space over F and W be a vector space over G, and let L(V->W) denote the set of all linear transformations mapping V to W. Recall that a set of linear transformations such as L here is itself a vector subspace of all functions mapping from V to W. What field is the vector space L over?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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