Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Kunze Linear Algebra
· Problem 8.2.5
Inner Product Spaces
Mathematics — Methods · inner-product-spaces
Problem
Let
V
V
V
be an inner product space, and let
α
\alpha
α
,
β
\beta
β
be vectors in
V
V
V
. Show that
α
=
β
\alpha = \beta
α
=
β
if and only if
(
α
∣
γ
)
=
(
β
∣
γ
)
(\alpha|\gamma) = (\beta|\gamma)
(
α
∣
γ
)
=
(
β
∣
γ
)
for every
γ
\gamma
γ
in
V
V
V
.
Related theory
Inner Products And Inner Product Spaces
Browse the problem library