Prove $(A^T)^{-1}$ = $(A^{-1})^T$ whenever $A$ is invertible.
May 12, 2013 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Understanding proof that ##(A^T)^{-1} = (A^{-1})^T## - Physics …
May 22, 2015 · ##I = A^{-1}A = (A^{-1}A)^T = A^T(A^{-1})^T## Where the second step is possible because ##I = I^T##. From the equations above ##A^T(A^T)^{-1} = A^T(A^{-1})^T …
Relationship between ln k and 1/t using different formula - Physics …
Jan 4, 2019 · The graph produced by the first equation will be one with a positive slope, but the one produced by the second equation is one with a negative slope, even though they have the …
Laplace transform of $1/t$ - Mathematics Stack Exchange
While there are other integral transforms that could transform $\frac{1}{t}$ in a useful way, anything other than what you gave wouldn't be considered a Laplace transform anymore. …
What is the relationship between frequency and period? - Physics …
Jan 8, 2014 · A frequency of 120 beats per minute corresponds to a period of 1/120 of a minute per beat. Continuing, 1/120 of a minute = 1/2 second. Or to match the original formula better: a …
linear algebra - Proof of orthogonal matrix property: $A^{-1}
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 …
Mastering the 5 Kinematic Equations: An In-Depth Look at Motion …
Sep 12, 2013 · The second equation 'D=1/2at^2' is one of the kinematic equations 'D=Vi+1/2at^2' where the initial velocity 'Vi' is considered to be zero. oh right, i can't believe i didn't notice that! …
measure theory - What does it mean to be an $L^1$ function ...
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 …
Simplest or nicest proof that $1+x \\le e^x$
Sep 26, 2013 · The shortest proof I could think of: $$1 + x \leq 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \cdots = e^x.$$ ...
Derivative of unit step function? - Mathematics Stack Exchange
Nov 1, 2016 · $\begingroup$ @zdub You have two $u(t-1)$ in your question, or $2u(t-1)$. This means the derivative is a $2\delta(t-1)$ that is represented by an upward arrow with ...