Linear Algebra Done Right · Problem 1C.3

Finite-Dimensional Vector Spaces — Sheldon Axler

Mathematics — Linear Algebra · subspaces

Problem

Show that the set of differentiable real-valued functions

f

on the interval

(-4, 4)

such that

f'(-1) = 3f(2)

is a subspace of

\mathbf{R}^{(-4,4)}