What does $QAQ^{-1}$ actually mean? - Mathematics Stack …
Apr 28, 2020 · I'm self-learning Linear Algebra and have been trying to take a geometric approach to understand what matrices mean visually. I've noticed this matrix product pop up repeatedly …
Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
May 11, 2015 · Why is 1/i 1 / i equal to −i − i? Ask Question Asked 10 years, 1 month ago Modified 5 months ago Viewed 113k times
Why is $1^{\\infty}$ considered to be an indeterminate form
The reason why 1∞ is indeterminate, is because what it really means intuitively is an approximation of the type (∼ 1)largenumber. And while 1 to a large power is 1, a number very …
What is the value of $1^i$? - Mathematics Stack Exchange
Aug 30, 2010 · 1 it's 1. 1 to the power of anything is 1. Edit: I'll elaborate. In defining ab, we know intuitively what to do in certain cases. When a is a positive integer and b is an integer, for …
Why is $1$ not a prime number? - Mathematics Stack Exchange
Jun 28, 2022 · Why is $1$ not considered a prime number? Or, why is the definition of prime numbers given for integers greater than $1$?
Formal proof for $(-1) \\times (-1) = 1$ - Mathematics Stack …
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. Is there a proof for it or is it just assumed?
Proof that $(AA^{-1}=I) \\Rightarrow (AA^{-1} = A^{-1}A)$
How do you have A − 1 A−1 defined? Is A A a square matrix? It is in general not true for nonsquare matrices that if AB = I AB=I that BA = I BA=I, so the fact that A A is square must …
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?
Mar 30, 2020 · This is same as AA -1. It means that we first apply the A -1 transformation which will take as to some plane having different basis vectors. If we think what is the inverse of A -1 …
Double induction example: $ 1 + q + q^2 - Mathematics Stack …
I'm working on a double induction problem with the following prompt: Prove by induction on n n that for any real number q> 1 q> 1 and integer n ≥ 0 n ≥ 0:
summation - Sum of 1 + 1/2 - Mathematics Stack Exchange
How do I calculate this sum in terms of 'n'? I know this is a harmonic progression, but I can't find how to calculate the summation of it. Also, is it an expansion of any mathematical function? 1 ...