Last Updated
：2025/11/21
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。
Quizzes for review
(linear algebra) Of a matrix, satisfying A textsf T=-A, i.e. having entries on one side of the diagonal that are the additive inverses of their correspondents on the other side of the diagonal and having only zeroes on the main diagonal.
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skew-symmetric
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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