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 Oct 4 awarded Yearling Oct 4 awarded Yearling Sep 30 awarded Explainer Sep 24 awarded Autobiographer Oct 4 awarded Yearling Jul 19 comment Solve an equation of inner product of a matrix and itself Assuming $X_{ij}\in\mathbbm{R}$, by singular value decomposition you can have $X=U\Sigma V^t$. Jul 19 comment Area enclosed by curves $\; y=x^2;\;\;y^2=2x-x^2$ @LeahLewy, Perhaps no need now...please have a look at the answer by amWhy. Jul 19 comment Area enclosed by curves $\; y=x^2;\;\;y^2=2x-x^2$ The integral are easy to compute: for the first one use $2x-x^2=1-(x-1)^2$ and use the formula for $\int\sqrt{a^2-x^2}dx$. Jun 8 comment $\{\cos n+\sin n\}$ have a convergent subsequence? @BrianM.Scott, yes you are correct, it is Bengali, my mother tongue. Jun 8 comment $\{\cos n+\sin n\}$ have a convergent subsequence? Should it not be $\sqrt{2}$, instead of 2? Jun 8 comment Question about inner product. a simple typo: at the last line, $g$ is odd. Jun 7 revised find the complex number that satisfies the following conditions After Edit Jun 7 comment find the complex number that satisfies the following conditions And if the second one is also $z.z=84$, then please accept @user81310's answer. Jun 7 answered find the complex number that satisfies the following conditions Jun 2 answered How can this be the correct derivative? May 7 awarded Caucus Apr 18 comment Rearranging Matricies Indeed the set of matrices forms a vector space over $\mathbb{C}$. Apr 2 comment Need Help with Proof $S=I_2,T=-I_2$ is a counterexample. Apr 2 answered Find all nonzero values of $k$ such that the vectors $(-11; k; 2)$ and $(k; k^2; k)$ are orthogonal. Apr 2 comment Find all nonzero values of $k$ such that the vectors $(-11; k; 2)$ and $(k; k^2; k)$ are orthogonal. Is $k2=2 k$....?