Linear Algebra Done Right · Problem 1B.2

Finite-Dimensional Vector Spaces — Sheldon Axler

Mathematics — Linear Algebra · vector-space-properties

Problem

Suppose a∈Fa \in \mathbf{F}, v∈Vv \in V, and av=0av = 0. Prove that a=0a = 0 or v=0v = 0.

Browse the problem library