
What is the relationship between frequency and period? - Physics …
2014年1月8日 · If you can walk around the block in 1/2 hour, (30 minutes) then you can do it 2 times in one hour. If you can walk around the block in 1/3 hour (20 minutes) then you can do it 3 times in one hour.
Prove $(A^T)^{-1}$ = $(A^{-1})^T$ whenever $A$ is invertible.
2013年5月12日 · 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.
matrices - Transpose of inverse vs inverse of transpose
2024年1月25日 · By the way, while what you say is technically true, what the OP asked for wasn't a proof of $(AB)^T=B^TA^T$, but $(A^{-1}))^T=(A^T)^{-1}$, and the latter equality does hold in the $1\times1$ case even when the ring is not commutative. $\endgroup$
matrices - Transpose of matrix inverse: $(AA^T)^{-1}A^Tb …
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.
Basis of the polynomial vector space - Mathematics Stack Exchange
2013年10月30日 · The simplest possible basis is the monomial basis: $\{1,x,x^2,x^3,\ldots,x^n\}$. Recall the definition of a basis.
calculus - The limit of an inverse trig function. - Mathematics Stack ...
$$\lim_{x\to\infty}\tan^{-1}(\dfrac{x}{4})$$ I have a question about why this limit is $\pi/2$. If the argument of $\tan^{-1}$ goes to infinity, doesn't the slope (since it is the tangent function...
Intersection/Collision of two lines in R^3 - Physics Forums
r1(t) = <t^2 + 3 , t + 1 , 6t^-1 > r2(t) = <4t , 2t -2 , t^2 - 7> I am completely lost in this problem and was hoping for a just a hint at where to begin. I'm unsure what it even means if two lines collide or intersect. I've done a similar problem that read: Determine if r1(t) = < 1 , 0 , 1 > + t<3, 3, 5 > and r2(t) = < 3, 6, 1 > +t<4, -2, 7 ...
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 hydrideion, which has one proton and two electrons) to an energy of 5MeV to 20MeV. This ion has a mass very close to that of a proton...
How to convert cm^-1 into erg or joules - Physics Forums
2010年2月5日 · You cant, because cm^(-1) is not a unit of energy. The base units of energy are m l t^(-2). For example Ergs are grams cm seconds^(-2) and Joules are kg m seconds^(-2).
linear algebra - Derivative of determinant of a matrix
2020年4月7日 · I would like to know how to calculate: $$\\frac{d}{dt}\\det \\big(A_1(t), A_2(t), \\ldots, A_n (t) \\big).$$