Last Updated：2026/01/08
Sentence
A skew-symmetric matrix has the characteristic that its transpose matrix is the inverse of the original matrix.
Chinese (Simplified) Translation
交替矩阵具有这样的特性：其转置矩阵是原矩阵的倒数。
Chinese (Traditional) Translation
交代矩陣具有這樣的特性：其轉置矩陣是原矩陣的逆矩陣。
Korean Translation
교대 행렬은 그 전치 행렬이 원래 행렬의 역수라는 특성을 가진다.
Indonesian Translation
Matriks permutasi memiliki sifat bahwa transposnya adalah invers dari matriks asalnya.
Vietnamese Translation
Ma trận thay phiên có đặc tính rằng ma trận chuyển vị của nó là nghịch đảo của ma trận gốc.
Tagalog Translation
Ang alternating na matris ay may katangiang ang transpose nito ay ang inverse ng orihinal na matris.
Quizzes for review
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A skew-symmetric matrix has the characteristic that its transpose matrix is the inverse of the original matrix.
A skew-symmetric matrix has the characteristic that its transpose matrix is the inverse of the original matrix.
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交代行列は、その転置行列が元の行列の逆数である特性を持つ。
Related words
交代行列
Hiragana
こうたいぎょうれつ
Noun
Japanese Meaning
線形代数において、転置行列をとると元の行列の符号がすべて反転するような行列のこと。任意の成分 a_ij について、a_ij = -a_ji を満たし、対角成分はすべて 0 になるという性質をもつ。実数係数をもつ交代行列は常に歪対称行列（スキュー対称行列）とも呼ばれる。 / より一般には、双線形形式や多重線形形式において、引数の順番を入れ替えると符号が変わる（あるいは特定の対称性をもつ）性質を表現するために導入される行列表現の一種。 / 物理学や微分幾何学において、角運動量や外積、微分形式などの反対称性をもつ量を表現する際に用いられる行列。空間の回転や保存量の記述に便利な性質を持つ。
Easy Japanese Meaning
たてとよこのならびをいれかえると、かずがはんたいになるもの。ななめはいつもれい。
Chinese (Simplified) Meaning
斜对称矩阵 / 反对称矩阵 / 满足 A^T = -A 的矩阵
Chinese (Traditional) Meaning
反對稱矩陣（滿足 A^T = −A 的方陣） / 斜對稱矩陣
Korean Meaning
반대칭행렬 / 전치가 음수인 행렬(A^T = -A)
Indonesian
matriks antisimetrik (A^T = −A) / matriks yang transposenya sama dengan negatifnya / matriks dengan elemen diagonal nol dan a_ij = −a_ji
Vietnamese Meaning
ma trận phản đối xứng / ma trận có chuyển vị bằng âm của chính nó (A^T = -A)
Tagalog Meaning
antisimetrikong matriks / matriks na ang transpose ay negatibo nito
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Japanese - English
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