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Install Free Gold Price Widget!
Install Free Gold Price Widget!
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- What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange
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 and can't seem to de
- 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 close to 1 to a large power can be anything
- 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 A B = I that BA = I B A = I, so the fact that A A is square must come into play somehow in the proof – JMoravitz Commented Oct 22, 2016 at 22:34 1
- Why is $1$ not a prime number? - Mathematics Stack Exchange
Why is $1$ not considered a prime number? Or, why is the definition of prime numbers given for integers greater than $1$?
- Series expansion: $\frac {1} { (1-x)^n}$ - Mathematics Stack Exchange
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 $A^{-1} A = I$?
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 ? We are basically asking that what transformation is required to get back to the Identity transformation whose basis vectors are i ^ (1,0) and j ^ (0,1)
- Double induction example: $ 1 + q + q^2 - Mathematics Stack Exchange
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:
- what is 1 - 1 2 + 1 3 - 1 4 + 1 5 - 1 6 + 1 7 - 1 8 +1 9
Please provide additional context, which ideally explains why the question is relevant to you and our community Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc
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