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 Mar 25 comment Conjugate-transpose of a linear transformation Or simply find the transformation basis of $T_{P}$ and take its transpose-conjugate, which should yield the same result. Mar 25 comment Conjugate-transpose of a linear transformation Thanks for the detailed explanation. Given a certain matrix $P$, to find the transformation basis of $(T_{P})*$ in the standard basis, I need to simply find the transformation basis of $T_{K}$ where $K=P^*$, right? (based on the above) Mar 25 accepted Conjugate-transpose of a linear transformation Mar 25 revised Conjugate-transpose of a linear transformation added 36 characters in body; deleted 1 characters in body Mar 25 asked Conjugate-transpose of a linear transformation Mar 24 revised Question regarding positive-definite matrices changing transpose to transpose-conjugate Mar 24 suggested approved edit on Question regarding positive-definite matrices Mar 14 revised Regarding orthonormal basis added 188 characters in body Mar 14 accepted Regarding orthonormal basis Mar 13 asked Regarding orthonormal basis Feb 24 answered Divergence of an improper integral - |cos(x^2)|/x^q Feb 10 awarded Citizen Patrol Feb 9 comment If $f(x)\nearrow\infty$ in $[a, \infty)$ and $f'(x)$ is continuous in $[a, \infty)$ then $\int_{a}^{\infty}\frac{f'(x)}{f(x)}\sin(f(x))$ converges @Adrian: I think it means $f(x)$ is increasing in the interval and $\lim_{x\to\infty}f(x)=\infty$. Feb 5 accepted Question regarding Weierstrass M-test Feb 5 comment Question regarding Weierstrass M-test @Jonas: if you want to put that down as an answer, I'll gladly accept it. Feb 5 comment Question regarding Weierstrass M-test @Jonas: I see, something like $\sum \frac{(-1)^n}{n}$? Feb 5 comment Question regarding Weierstrass M-test @Jonas: not sure I follow. What should be constant? Feb 5 comment Question regarding Weierstrass M-test Thanks. One question though: why is $\sup_{x\in I} |u_n(x)| \geq u_n(n) = 1/n$? Feb 5 comment Question regarding Weierstrass M-test @Jonas: interesting. Will $\log(1+x)=\sum (-1)^{n+1}\frac{x^n}{n}$ work? Here $I=(-1, 1]$ and at $x=1$ we'll get $\frac{1}{n}$. Feb 5 asked Question regarding Weierstrass M-test