线性代数 （det)是什么意思？A矩阵的行列式（determinant），用符号det(A)表示。行列式在数学中，是由解线性方程组产生的一种算式其定义域为nxn的矩阵 A，取值为一个标量，写作det(A)或 | A | 。

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2019年2月10日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

det的意思是限定词。 限定词是在名词词组中对名词中心词起特指、类指以及表示确定数量和非确定数量等限定作用的词类。

Typically we define determinants by a series of rules from which $\det(\alpha A)=\alpha^n\det(A)$ follows almost immediately. Even defining determinants as the expression used in Andrea's answer gives this right away. On the other hand, the arguments showing $\det(AB)=\det(A)\det(B)$ are more elaborate. $\endgroup$ –

2024年11月29日 · 线性代数中det代表什么在学习线性代数时，det是一个非常重要的概念，它代表的是一个行列式的计算结果，是一个数值。具体而言，如果有一个矩阵A，那么A的行列式，通常用符号det(A)来表示。这个值对矩阵的性质有着决定

2020年6月27日 · $\begingroup$ Hi, I noticed that in the Wikipedea article you linked, there is an indentity logdet(I+A)=trlog(I+A) for trace class operator, but I cannot find the reference for that.

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The equality can be viewed as a consequence of Sylvester's determinant theorem $\det(I+XY)=\det(I+YX)$ (whose proof is merely based on the identity $\det(PQ)=\det(P)\det(Q)$ for square matrices) and the cyclic-ness of trace (i.e. $\operatorname{trace}(XY)=\operatorname{trace}(YX)$; the proof of this equality is straightforward --- just compare ...

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