线性代数 （det)是什么意思？_百度知道
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 | 。行列式可以看 …
海运中DEM与DET分别代表什么？所谓的免堆与免用？所谓场内场 …
Aug 6, 2024 · 海运中，DEM和DET是两种常见的费用术语。DEM代表滞期费（Demurrage Charges），当船舶在港口停留超过预定时间，未能及时卸货或装货，船东会向租船人收取这 …
How do I prove that $\det A= \det A^T$? - Mathematics Stack …
10 I believe your proof is correct. Note that the best way of proving that $\det (A)=\det (A^t)$ depends very much on the definition of the determinant you are using. My personal favorite …
The determinant of adjugate matrix - Mathematics Stack Exchange
Jan 17, 2016 · Thus, its determinant will simply be the product of the diagonal entries, $ (\det A)^n$ Also, using the multiplicity of determinant function, we get $\det (A\cdot adjA) = \det …
linear algebra - Why is $\det (-A)= (-1)^n\det (A)
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 …
prove that $\det (ABC) = \det (A) \det (B) \det (C)$ [for any $n×n ...
Feb 7, 2020 · I was thinking about trying to argue because the numbers of a given matrix multiply as scalars, the determinant is the product of them all and because the order of the …
linear algebra - How to prove $\det \left (e^A\right) = e ...
Sep 6, 2022 · Prove $$\\det \\left( e^A \\right) = e^{\\operatorname{tr}(A)}$$ for all matrices $A \\in \\mathbb{C}^{n \\times n}$.
linear algebra - How to show that $\det (AB) =\det (A) \det (B ...
Aug 28, 2011 · Once you buy this interpretation of the determinant, $\det (AB)=\det (A)\det (B)$ follows immediately because the whole point of matrix multiplication is that $AB$ corresponds …
$\det (I+A) = 1 + tr (A) + \det (A)$ for $n=2$ and for $n>2$?
Aug 1, 2013 · When $A$ is a $n \times n$ matrix, the above expansion terminate at the $t^n$ term with coefficient equal to $\det A$. With this, you can obtain formula similar to what you …
Why $\det (A^ {-1}) = 1/\det (A)$? - Mathematics Stack Exchange
Jul 12, 2016 · That actually makes sense to me now. Thank you for your assistance!