Linear Algebra Done Right · Problem 30

Polynomials — Sheldon Axler

Mathematics — Linear Algebra · dual-basis

Problem

Suppose

V

is finite-dimensional and

\varphi_1, \ldots, \varphi_n

is a basis of

V'

. Show that there exists a basis of

V

whose dual basis is

\varphi_1, \ldots, \varphi_n