Last Updated:2025/11/21
Sentence

任意の斜対称行列Aについて、任意の実ベクトルxに対する二次形式x^T A xは常に0になります。

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For any skew-symmetric matrix A, the quadratic form xT A x is always zero for every real vector x.

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For any skew-symmetric matrix A, the quadratic form xT A x is always zero for every real vector x.

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Related words

skew-symmetric

Adjective
not-comparable
Japanese Meaning
線形代数において、転置行列が元の行列の負となる(A^T = -A)という性質を持つ行列に対して用いられる形容詞。 / 対角線上の成分がすべてゼロで、対角線の一方にある成分が、もう一方の対応する成分の加法的逆数になっている行列を表す。
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任意の斜対称行列Aについて、任意の実ベクトルxに対する二次形式x^T A xは常に0になります。

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