Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Kunze Linear Algebra
· Problem 8.2.1
Inner Product Spaces
Mathematics — Methods · orthogonality-gram-schmidt
Problem
Consider
R
4
R^4
R
4
with the standard inner product. Let
W
W
W
be the subspace of
R
4
R^4
R
4
consisting of all vectors which are orthogonal to both
α
=
(
1
,
0
,
−
1
,
1
)
\alpha = (1, 0, -1, 1)
α
=
(
1
,
0
,
−
1
,
1
)
and
β
=
(
2
,
3
,
−
1
,
2
)
\beta = (2, 3, -1, 2)
β
=
(
2
,
3
,
−
1
,
2
)
. Find a basis for
W
W
W
.
Related theory
Inner Product Spaces And Gram Schmidt
Browse the problem library