Apr 28, 2020 · 105 1 1 silver badge 5 5 bronze badges $\endgroup$ 2. 1 $\begingroup$ Not an answer, just a comment. This ...

May 11, 2015 · There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot cleaner than saying $1-1$ for example. The complex numbers are a field. This means that every non-$0$ element has a multiplicative inverse, and that inverse is unique.

$\begingroup$ By defining a negative integer as an equivalence class like so you allow them to exist in some rigorous sense, and then by selecting an element of the equivalence class of -1 you extend FOIL to prove.

Mar 30, 2020 · Short Answer . Yes AA-1 = A-1 A = I when the Det(A) $\neq$ 0 and A is a square matrix.. Long Answer . A matrix is basically a linear transformation applied to some space.

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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.

Aug 24, 2016 · 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.

I can give you a good approximation if you would prefer: $$\ln(n+1)\le\sum_{i=1}^n\frac1i\le\ln(n)+1$$ This is a rather tight upper limit and lower limit you can use to approximate your answer.

Oct 30, 2020 · 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.

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.