Last Updated：2026/01/08
Sentence
A positive-definite matrix is an important concept in linear algebra.
Chinese (Simplified) Translation
正定矩阵是线性代数中的一个重要概念。
Chinese (Traditional) Translation
正定矩陣是線性代數中的重要概念。
Korean Translation
양의 정부호 행렬은 선형대수학의 중요한 개념입니다.
Indonesian Translation
Matriks definit positif adalah konsep penting dalam aljabar linear.
Vietnamese Translation
Ma trận xác định dương là một khái niệm quan trọng trong đại số tuyến tính.
Tagalog Translation
Ang positibong tiyak na matris ay isang mahalagang konsepto sa linear algebra.
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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。
Related words
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
Indonesian
matriks definit positif / matriks (simetris/Hermitian) dengan semua nilai eigen positif / matriks yang menghasilkan bentuk kuadrat positif untuk semua vektor tak nol
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
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