Last Updated
：2026/01/04
正定値行列
Hiragana
せいていちぎょうれつ
Noun
Japanese Meaning
線形代数において，任意のゼロでないベクトルに対して二次形式 x^T A x が常に正の値をとるような実対称（またはエルミート）行列。 / 固有値がすべて正である行列。 / 定義される内積が常に正となるような，内積空間の計量を表す行列。
Easy Japanese Meaning
たてとよこに数がならぶ表です。ある計算をすると、答えがいつも正の数になります。
Chinese (Simplified) Meaning
正定矩阵（线性代数） / 对称（或厄米）矩阵，其二次型在任意非零向量上为正 / （限对称/厄米）所有特征值均为正的矩阵
Chinese (Traditional) Meaning
正定矩陣 / 所有特徵值皆為正的厄米（或實對稱）矩陣 / 對所有非零向量 x 滿足 xᵀAx > 0 的矩陣
Korean Meaning
양의 정부호 행렬 / 모든 0이 아닌 벡터 x에 대해 x^T A x > 0을 만족하는 행렬
Vietnamese Meaning
Ma trận xác định dương (trong đại số tuyến tính). / Ma trận A sao cho vᵀAv > 0 với mọi vector v ≠ 0. / Ma trận có mọi trị riêng đều dương.
Tagalog Meaning
matris na positibong depinido / matris na para sa lahat ng hindi serong bektor x, xᵀAx > 0 / (sa simetrikong kaso) matris na may lahat ng eigenvalue na positibo
Sense（1）
(linear algebra) positive-definite matrix
（ canonical ）
（ romanization ）
（ hiragana ）
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正定値行列
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A positive-definite matrix is an important concept in linear algebra.
A positive-definite matrix is an important concept in linear algebra.
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正定値行列は、線形代数学の重要な概念です。
Japanese - English
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