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Linear Algebra and Its Applications
· Problem 3.1.41
Orthogonality — Gilbert Strang
Mathematics · orthogonal-subspaces
Problem
Suppose
V
V
V
is the whole space
R
4
\mathbf{R}^4
R
4
. Then
V
⊥
V^\perp
V
⊥
contains only the vector \_\_\_\_. Then
(
V
⊥
)
⊥
(V^\perp)^\perp
(
V
⊥
)
⊥
is \_\_\_\_. So
(
V
⊥
)
⊥
(V^\perp)^\perp
(
V
⊥
)
⊥
is the same as \_\_\_\_.
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