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Linear Algebra and Its Applications
· Problem 3.1.34
Orthogonality — Gilbert Strang
Mathematics · orthogonal-subspaces
Problem
Put bases for the orthogonal subspaces
V
V
V
and
W
W
W
into the columns of matrices
V
V
V
and
W
W
W
. Why does
V
T
W
=
V^TW =
V
T
W
=
zero matrix? This matches
v
T
w
=
0
v^Tw = 0
v
T
w
=
0
for vectors.
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