Last Updated：2026/01/08
Sentence
A positive-semidefinite matrix is one of the important concepts in linear algebra.
Chinese (Simplified) Translation
半正定矩阵是线性代数学中的重要概念之一。
Chinese (Traditional) Translation
半正定矩陣是線性代數中重要的概念之一。
Korean Translation
양의 준정부호 행렬은 선형대수학에서 중요한 개념 중 하나입니다.
Indonesian Translation
Matriks semidefinit positif adalah salah satu konsep penting dalam aljabar linear.
Vietnamese Translation
Ma trận bán xác định là một trong những khái niệm quan trọng của đại số tuyến tính.
Tagalog Translation
Ang positive semidefinite na matriks ay isa sa mga mahalagang konsepto sa linear algebra.
Quizzes for review
See correct answer
A positive-semidefinite matrix is one of the important concepts in linear algebra.
A positive-semidefinite matrix is one of the important concepts in linear algebra.
See correct answer
半正定値行列は、線形代数学の重要な概念の一つです。
Related words
半正定値行列
Hiragana
はんせいていちぎょうれつ
Noun
Japanese Meaning
線形代数において、任意のベクトルに対して二次形式が0以上となる性質をもつ行列。半正定値行列は、固有値がすべて0以上である対称行列として特徴づけられる。 / 最適化や統計学などの分野で、共分散行列などとして現れ、凸性や安定性の解析に用いられる行列。
Easy Japanese Meaning
たてとよこに数をならべたもののうち、決まった計算でいつも０以上になるもの。
Chinese (Simplified) Meaning
对任意向量x，其二次型x^T A x均不小于0的矩阵 / 所有特征值均为非负的矩阵
Chinese (Traditional) Meaning
對任意向量，其二次型皆非負的矩陣 / 所有特徵值皆非負的（對稱／厄米）矩陣
Korean Meaning
양의 준정부호 행렬 / 모든 고유값이 0 이상인 행렬 / 임의의 벡터 x에 대해 x^T A x ≥ 0인 행렬
Indonesian
matriks semidefinit positif / matriks (simetris/Hermitian) dengan semua nilai eigen tidak negatif
Vietnamese Meaning
ma trận nửa xác định dương / ma trận có xᵗAx ≥ 0 với mọi vector x / ma trận có tất cả giá trị riêng không âm
Tagalog Meaning
positibong semidefinite na matris / matris na may di‑negatibong mga eigenvalue / matris na ang pormang kwadratiko ay hindi negatibo para sa lahat ng bektor
Related Words
（ canonical ）
（ romanization ）
（ hiragana ）
Japanese - English
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen changing entry name
- Users authorized to vote on judging - All Users
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
