16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.3.7

Linear Transformations

Mathematics — Linear Algebra · isomorphism-of-transformation-spaces

Problem

Let

V

and

W

be vector spaces over the field

F

and let

U

be an isomorphism of

V

onto

W

. Prove that

T \to UTU^{-1}

is an isomorphism of

L(V, V)

onto

L(W, W)