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What does $QAQ^{-1}$ actually mean? - Mathematics Stack …
Apr 28, 2020 · 1 $\begingroup$ 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 …
What is the value of $1^i$? - Mathematics Stack Exchange
Aug 30, 2010 · There are infinitely many possible values for $1^i$, corresponding to different branches of the complex logarithm. The confusing point here is that the formula $1^x = 1$ is …
Why is $1^{\\infty}$ considered to be an indeterminate form
The indeterminate forms are often abbreviated with stuff like "$1^\infty$" but that's not what they mean. This "$1^\infty$" (in regards to indeterminate forms) actually means: when there is an …
Proof that $(AA^{-1}=I) \\Rightarrow (AA^{-1} = A^{-1}A)$
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 …
arithmetic - Formal proof for $(-1) \times (-1) = 1$ - Mathematics ...
The Law of Signs $\rm\: (-x)(-y) = xy\:$ isn't normally assumed as an axiom. Rather, it is derived as a consequence of more fundamental Ring axioms $ $ [esp. the distributive law $\rm\,x(y+z) …
Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
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 …
Series expansion: $\frac{1}{(1-x)^n}$ - Mathematics Stack Exchange
Dec 2, 2024 · What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?
Mar 30, 2020 · A-1 A means that first we apply A transformation then we apply A-1 transformation. When we apply A transformation we reach some plane having some different basis vectors but …
Why is $1$ not a prime number? - Mathematics Stack Exchange
Jun 28, 2022 · actually 1 was considered a prime number until the beginning of 20th century. Unique factorization was a driving force beneath its changing of status, since it's formulation is …
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