16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.4.3

Linear Transformations

Mathematics — Linear Algebra · range-of-transformation-column-space

Problem

Let

T

be a linear operator on

F^n

, let

A

be the matrix of

T

in the standard ordered basis for

F^n

, and let

W

be the subspace of

F^n

spanned by the column vectors of

A

. What does

W

have to do with

T