### Questions (18)

 10 Find the Jordan normal form of a nilpotent matrix $N$ given the dimensions of the kernels of $N, N^2, N^3$ 2 How to find an affine map for given points 2 Show that $\lim\limits_{n\to\infty}\left\langle N,\frac{p_{n}-p}{|p_{n}-p|}\right\rangle =0$ on a regular surface 1 volume of a torus 1 $X,Y$ have the same distribution, then $X_n\stackrel{D}{\rightarrow}X$, then $X_n\stackrel{D}{\rightarrow}Y$

### Reputation (129)

 +10 How to find an affine map for given points +10 Show that $\lim\limits_{n\to\infty}\left\langle N,\frac{p_{n}-p}{|p_{n}-p|}\right\rangle =0$ on a regular surface +25 Find the Jordan normal form of a nilpotent matrix $N$ given the dimensions of the kernels of $N, N^2, N^3$ +5 $X,Y$ have the same distribution, then $X_n\stackrel{D}{\rightarrow}X$, then $X_n\stackrel{D}{\rightarrow}Y$

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### Tags (31)

 0 linear-algebra × 4 0 linear-transformations 0 differential-geometry × 3 0 jordan-normal-form 0 real-analysis × 2 0 matrices 0 calculus × 2 0 complex-analysis 0 integration × 2 0 contour-integration