A First Course in Linear Algebra · Problem ILT-T15

Linear Transformations — Robert Beezer

Mathematics — Linear Algebra · kernel-linear-transformations

Problem

Suppose that

T: U \to V

and

S: V \to W

are linear transformations. Prove the following relationship between kernels.

\mathcal{K}(T) \subseteq \mathcal{K}(S \circ T)