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  • 线性代数 (det)是什么意思? - 百度知道
    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 | 。
  • linear algebra - how does $\det ( (\det A) I)= (\det A)^n . . .
    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
  • linear algebra - Why is $\det⁡ (-A)= (-1)^n\det (A)$? - Mathematics . . .
    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 $\endgroup$ –
  • linear algebra - How do I prove that $\det A= \det A^T$? - Mathematics . . .
    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 way of proving it is by giving a definition of the determinant such that $\det(A)=\det(A^t)$ is obviously true
  • prove that $\\det(ABC) = \\det(A) \\det(B) \\det(C)$ [for any $n×n . . .
    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(ABC) stays the same, det(ABC) = det(A) det(B) det(C) holds true
  • det. 是什么意思 - 百度知道
    2012-09-07 词性det 是什么意思? 1082 2010-09-30 矩阵中的det是什么意思? 303 2013-07-11 线性代数 (det)是什么意思? 260 2012-01-24 在线性代数中det 是啥意思啊?! 119 2016-11-28 请问线性代数中的det是什么意思? 54 2017-06-07 矩阵中的det是什么意思 166 2018-02-27 det 是什么意思? 11
  • $\\det(I+A) = 1 + tr(A) + \\det(A)$ for $n=2$ and for $n gt;2$?
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  • linear algebra - How to prove $\det \left (e^A\right) = e . . .
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