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The orthogonal group is the group of all matrices with orthonormal rows and orthonormal columns
...
Geometry
Differential geometry
Lie group
Important Lie group
Orthogonal group
Definition of the orthogonal group
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words: 23
Or equivalently, the set of rows is
orthonormal
, and so is the set of columns. TODO proof that it is equivalent to
the orthogonal group is the group of all matrices that preserve the dot product
.
Ancestors
(9)
Definition of the orthogonal group
Orthogonal group
Important Lie group
Lie group
Differential geometry
Geometry
Area of mathematics
Mathematics
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