Long Answer A matrix is basically a linear transformation applied to some space. Is there a proof for it or is it just assumed? Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. You may already know that 1 =e0+2kiπ 1 = e 0 + 2 k i π for every integer k k, so there are many possible choices for log(1) log (1). 什么意思呢？ 它表示这样一个结论：对于任意的一个整数，你都能把它因数分解，而且结果是唯一的。 举个例子：1001只能被分解成7×11×13，而且你再也找不到除 (7,11,13)外的一组质数，使它们的乘积是1001。 那么这个定理有什么用呢？ 知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。 知乎是一个中文互联网高质量问答社区和创作者聚集的原创内容平台，提供知识共享、互动交流和个人成长机会。 知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。 Is there a formal proof for $(-1) \\times (-1) = 1$? It's a fundamental formula not only in arithmetic but also in the whole of math. 知乎是一个中文互联网高质量问答社区和创作者聚集的原创内容平台，提供知识共享、互动交流和个人成长机会。 m = p 1 a 1 p 2 a 2 p 3 a 3 p n a n . Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. Can you think of some way to Aug 30, 2010 · The formal moral of that example is that the value of 1i 1 i depends on the branch of the complex logarithm that you use to compute the power. For the sake of simplicity I will assume that we are in a 2D plane having 2 basis vectors i ^ and j ^ each having the magnitude of 1 with coordinates (1,0) and (0,1 比如，用质数组合得到数字6的唯一方法是2×3（顺序不重要，所以3×2算是同一种方法）。 然而，如果我们说1也算质数的话，那么得到6的方法就还有1×2×3和1×1×2×3，等等。 1的存在会破坏一切，对我们完全没有帮助。 所以我们必须弥补这个规则中的漏洞。. I'm perplexed as to why I have to account for this condition in my factorial function (Trying to learn May 11, 2015 · Why is 1/i 1 / i equal to −i i? Ask Question Asked 10 years, 8 months ago Modified 1 year ago Viewed 116k times 注1：【】代表软件中的功能文字 注2：同一台电脑，只需要设置一次，以后都可以直接使用 注3：如果觉得原先设置的格式不是自己想要的，可以继续点击【多级列表】——【定义新多级列表】，找到相应的位置进行修改 Aug 30, 2010 · The formal moral of that example is that the value of 1i 1 i depends on the branch of the complex logarithm that you use to compute the power. 知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。 Mar 30, 2020 · 1 Short Answer Yes AA -1 = A -1 A = I when the Det (A) ≠ ≠ 0 and A is a square matrix. For the sake of simplicity I will assume that we are in a 2D plane having 2 basis vectors i ^ and j ^ each having the magnitude of 1 with coordinates (1,0) and (0,1 注1：【】代表软件中的功能文字 注2：同一台电脑，只需要设置一次，以后都可以直接使用 注3：如果觉得原先设置的格式不是自己想要的，可以继续点击【多级列表】——【定义新多级列表】，找到相应的位置进行修改 Is there a formal proof for $(-1) \\times (-1) = 1$? It's a fundamental formula not only in arithmetic but also in the whole of math. For the sake of simplicity I will assume that we are in a 2D plane having 2 basis vectors i ^ and j ^ each having the magnitude of 1 with coordinates (1,0) and (0,1 比如，用质数组合得到数字6的唯一方法是2×3（顺序不重要，所以3×2算是同一种方法）。 然而，如果我们说1也算质数的话，那么得到6的方法就还有1×2×3和1×1×2×3，等等。 1的存在会破坏一切，对我们完全没有帮助。 所以我们必须弥补这个规则中的漏洞。 知乎是一个中文互联网高质量问答社区和创作者聚集的原创内容平台，提供知识共享、互动交流和个人成长机会。 知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。 Is there a formal proof for $(-1) \\times (-1) = 1$? It's a fundamental formula not only in arithmetic but also in the whole of math.

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