Prove $(A^T)^{-1}$ = $(A^{-1})^T$ whenever $A$ is invertible.
2013年5月12日 · Prove (AT)−1 (A T) − 1 = (A−1)T (A − 1) T for any invertible matrix A. A. I actually don't know where to start. I do not think I can just apply index laws. Any help is cool! …
Why is the distance calculation multiplied by one half in this …
2010年6月24日 · When I learn physics I like to visualize what is happening in my head. I can understand why this problem is multiplied by t^2; from my rational it is to get (m/s^2) just to …
proof writing - Limit of $ (1+ x/n)^n$ when $n$ tends to infinity ...
2014年7月30日 · Does anyone know the exact proof of this limit result? $$\\lim_{n\\to\\infty} \\left(1+\\frac{x}{n}\\right)^n = e^x$$
matrices - Transpose of inverse vs inverse of transpose
2024年1月25日 · Given a square matrix, is the transpose of the inverse equal to the inverse of the transpose?
Plotting lnη vs 1/T for Water and Alcohol Viscosity Measurements
2014年10月27日 · Homework Statement Plot the graph of lnη vs 1/T for water (use values from table) and alcohol (values measured previously). For water: (Temperature in...
Basis of the polynomial vector space - Mathematics Stack Exchange
2013年10月30日 · I don't understand how to find a basis for a polynomial vector space. Can someone help me with an example?
recursive algorithms - Recursion tree T (n) = T (n/3) + T (2n/3) + cn ...
2015年1月20日 · I have a task: Explain that by using recursion tree that solution for: T(n) = T(n3) + T(2n3) + cn T (n) = T (n 3) + T (2 n 3) + c n Where c is constance, is Ω(n lg n) Ω (n lg n) My …
Taylor series of $\\ln(1+x)$? - Mathematics Stack Exchange
The question you asked about the 1 1+t = ⋯ is briefly dealt with above by the mention of geometric series. You are probably familiar with 1 + r +r2 +r3 + ⋅ = 1 1−r (sum of infinite …
calculus - Evaluating $\int \frac {1} { {x^4+1}} dx$ - Mathematics ...
I am trying to evaluate the integral $$\int \frac {1} {1+x^4} \mathrm dx.$$ The integrand $\frac {1} {1+x^4}$ is a rational function (quotient of two polynomials), so I could solve the integral if I ...
Cyclotron magnetic field questions - Physics Forums
2016年2月26日 · Homework Statement Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. These cyclotrons typically accelerate H− (the …