A First Course in Linear Algebra · Problem SS.T22

Vectors — Robert Beezer

Mathematics — Linear Algebra · spanning-sets-proofs

Problem

Suppose that

S

is a set of vectors from

\mathbb{C}^m

\alpha \in \mathbb{C}

, and

\mathbf{x} \in \langle S \rangle

. Prove that

\alpha \mathbf{x} \in \langle S \rangle