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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