Last Updated
：2025/12/03
orthogonal group
Noun
Japanese Meaning
nと体F（特に実数の場合）に対して、Fの元を要素とするn×n直交行列全体からなる群。群の演算は行列の積で定義される。
（ plural ）
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(group theory) For given n and field F (especially where F is the real numbers), the group of n × n orthogonal matrices with elements in F, where the group operation is matrix multiplication.
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orthogonal group
The orthogonal group O(n) consists of all n × n matrices with real entries that preserve the Euclidean inner product under matrix multiplication.
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The orthogonal group O(n) consists of all n × n matrices with real entries that preserve the Euclidean inner product under matrix multiplication.
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