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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 . . .
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- 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 $\endgroup$ –
- 词性det. 是什么意思？ - 百度知道
(grammar 语法) (abbreviation det in this dictionary 本词典缩略为 det ) 限定词（置于名词前起限定作用，如the、some、my等） 。 与不可数或复数名词连用，用于否定句，也用于 疑问句 中的 if 或 whether 之后，或紧接某些动词如 prevent、ban、avoid 等）任何的，任一的。
- 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
- 矩阵中的det是什么意思？ - 百度知道
det是determinant的缩写 是行列式的定义 行列式的定义是:一个n阶矩阵 那么它的行列式是一串和,每个加法元是n矩阵元素相乘 这n个是这样取的:第一行取第1个的话 第二行可从剩下的n-1个取 以此类推,到最后一行只有一个可以取 所以有n的阶乘个加法元 同时,每个加法元的符号还要看你取的这n个数字的
- calculus - prove that $\det (ABC) = \det (A) \det (B) \det (C)$ [for . . .
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
- $\\det(I+A) = 1 + tr(A) + \\det(A)$ for $n=2$ and for $n gt;2$?
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