# poton

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# 116 Questions

 20 The graph of xy = 1 is connected or not 13 Topology of matrices 7 Let $A$ be a $n× n$ real matrix with $A^2 = A^T$. Show that every real eigenvalue of $A$ is either $0$ or $1$. 6 A true/false questions on general topology 6 Find the smallest integer $n > 0$ such that $2012$ divides $9^n-1$.

# 1,845 Reputation

 -2 Two problems: When a countinuous bijection is a homeomorphism? Possible cardinalities of Hamel bases? +10 Properties of homomorphisms of the additive group of rationals +10 Every subsequence of $x_n$ has a further subsequence which converges to $x$.Then the sequence $x_n$ converges to $x$. -2 uniform convergence of few sequence of functions

 8 Let $A$ be a $n× n$ real matrix with $A^2 = A^T$. Show that every real eigenvalue of $A$ is either $0$ or $1$. 7 If $(1,1)$ is an eigenvector of $A=\begin{pmatrix}2 &5\\3&k\end{pmatrix}$,then one of the eigenvalues of $A$ is :- 4 Alternating series - absolute convergence? 3 Every subsequence of $x_n$ has a further subsequence which converges to $x$.Then the sequence $x_n$ converges to $x$. 3 Two questions on finite abelian groups

# 37 Tags

 15 linear-algebra × 16 3 abstract-algebra × 21 15 matrices × 6 3 metric-spaces × 5 8 eigenvalues-eigenvectors × 2 2 general-topology × 40 4 real-analysis × 38 2 complex-analysis × 10 4 sequences-and-series × 3 1 pde

# 1 Account

 Mathematics 1,845 rep 519