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 | 。行列式可以看做是有向面 …

Divide the leading and the trailing expressions by n n, we obtain det(A) = det(AT) det (A) = det (A T). Since this is a universal identity, it also works over commutative rings of finite characteristics.

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部分费 …

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 …

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 multiplication of det …

Apr 16, 2015 · DET（Detention Charge）：拘留费 2.免堆期（FREE DETENTION），意思是免去集装箱在目的港码头的堆存费用，主要是发生在收货人不能迅速清关，或因为货量较大的情况下，需要在 …

Sep 6, 2022 · Prove $$\\det \\left( e^A \\right) = e^{\\operatorname{tr}(A)}$$ for all matrices $A \\in \\mathbb{C}^{n \\times n}$.

All you need to use is that important property, and det(XY) = det X det Y det (X Y) = det X det Y, and the formula for det cX det c X when c c is a constant (and you need to know det I det I). Try it!

Jul 12, 2016 · That actually makes sense to me now. Thank you for your assistance!

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 to the …