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Bookmark or Share- What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange1 $\begingroup$ When one thinks of matrix products like that, it's helpful to remember that matrices, unlike vectors, have two sets of bases: one for the domain and one for the range. Thinking of applying a vector on to the right, we get that the transformation "unrotates" the vector, applies the original transformation in the original basis ...
- The sequence of integers $1, 11, 111, 1111, \\ldots$ have two elements ...Prove that the sequence $\\{1, 11, 111, 1111, .\\ldots\\}$ will contain two numbers whose difference is a multiple of $2017$. I have been computing some of the immediate multiples of $2017$ to see how
- sequences and series - $\sum k! = 1! +2! +3! + \cdots + n!$ ,is there a ...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.
- Given a 95% confidence interval why are we using 1.96 and not 1.64?in your Estimation of Population Mean meaning, that mean plus or minus 1.96 times its standard deviation gives 95% C.I. Errors distr. estimation is considered to use t-distr with fatter tails than Normal distr., but with increasing size of sample errors distr. can achieve the Normal Distr. -- see t-tables & z-tables in linked-pdf - there're ...
- Sum of 1 - 1/2 + 1/3 +.... + 1/n - Mathematics Stack ExchangeOne can write $$1+\frac12+\frac13+\cdots+\frac1n=\gamma+\psi(n+1)$$ where $\gamma$ is Euler's constant and $\psi$ is the digamma function. Of course, one reason for creating the digamma function is to make formulae like this true.
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