16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.2.6

Linear Transformations

Mathematics — Linear Algebra · composition-not-invertible

Problem

Let

T

be a linear transformation from

R^3

into

R^2

, and let

U

be a linear transformation from

R^2

into

R^3

. Prove that the transformation

UT

is not invertible. Generalize the theorem.