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中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件 邓家贵、低端人口、西藏骚乱
Definition of the orthogonal group
Orthogonal group
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Intuitive definition: real group of rotations + reflections.
Mathematical definition that most directly represents this:
the orthogonal group is the group of all matrices that preserve the dot product
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Table of contents
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The orthogonal group is the group of all matrices that preserve the dot product
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Definition of the orthogonal group
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What happens to the definition of the orthogonal group if we choose other types of symmetric bilinear forms
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The orthogonal group is the group of all matrices that preserve the dot product
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The orthogonal group is the group of all invertible matrices where the inverse is equal to the transpose
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Definition of the orthogonal group
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Elements of the orthogonal group have determinant plus or minus one
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The orthogonal group is the group of all invertible matrices where the inverse is equal to the transpose
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The orthogonal group is the group of all matrices with orthonormal rows and orthonormal columns
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Definition of the orthogonal group
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Ancestors
Orthogonal group
Important Lie group
Lie group
Differential geometry
Geometry
Mathematics
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