Web Reference: 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 ... Jul 27, 2024 · 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 ... 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.
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