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  • linear algebra - How to show that $\det (AB) =\det (A) \det (B . . .
    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 composed linear transformation $A \circ B$
  • 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 | 。行列式可以看做是有向面积或体积。 扩展资料 性质 ①行列式A中某行 (或列)用同一数k乘,其结果等于kA。 ②行列式A等于其转置
  • det是什么词性 - 百度知道
    1 det 是 determiner 的缩写，指的是词性中的“限定词”。 2 限定词是与名词紧密相关的词类，包括冠词 (a (n), the)、形容词性指示代词 (this, that, these, those)、形容词性物主代词 (my, your, our, etc )、形容词性不定代词 (both, every, much, some, etc )、数词 (one, two, etc ; first, second, etc ; one-third, three-fifths, etc )和
  • How do I prove that $\det A= \det A^T$? - Mathematics Stack Exchange
    11 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 way of proving it is by giving a definition of the determinant such that $\det (A)=\det (A^t)$ is obviously true
  • linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold . . .
    It would be a good exercise to determine for which matrices, the identity $\det (A+b)=\det (A)+\det (B)$ holds I think that it would work for rather few of them
  • linear algebra - How to prove $\det \left (e^A\right) = e . . .
    Prove $$\\det \\left( e^A \\right) = e^{\\operatorname{tr}(A)}$$ for all matrices $A \\in \\mathbb{C}^{n \\times n}$
  • linear algebra - Prove $\det (A+BC) = \det (A) (1+CA^ {-1}B . . .
    I tried proving it using the statement proved in this question $\det (M) = \det (A) \cdot \det (D-C A^ {-1} B)$ (which was presented to me in the similar questions while posting this question), but had no success
  • linear algebra - Describe $\det (A^*)$ in terms of $\det (A . . .
    Writing out an arbitrary $2\times 2$ matrix and then slogging through a computation of $\det A$ and $\det A^\dagger$ is tedious, and it doesn't generalize to higher-dimensions
  • 线性代数 （det)是什么意思？_百度知道
    线性代数 （det)是什么意思？线性代数中的一个重要概念是矩阵的行列式，通常用det (A)或| A | 表示。它是一个数学运算，特别适用于n阶方阵（即nxn的矩阵）。行列式的本质可以被理解为表示的是线性方程组解的特征
  • 英语词典中det. 是什么词性？_百度知道
    det是单词determiner的缩写，是“限定词”词性的缩写。 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，主要置于名词前起限定作用。 例句： Plural count nouns do take a determiner when they refer precisely toparticular things of people All





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