### Questions (56)

 7 If $A$ is an $n$ by $n$ integer matrix such that $A^3 = I$, then $\operatorname{tr}(A) = n\mod3$ 6 Let $G$ be a finite matrix group in $GL_2(Q)$ such that every matrix $A\in G$ has integer entries. Prove $A^{12}= I$ for each $A$. 5 Finding the eigenvalues of a linear transformation which takes inputs from the set of all $n\times n$ matrices. 5 Usage of mean value theorem ; bounded derivative and open interval 5 What is a subsequence in calculus?

### Reputation (607)

 +5 Why does every Laurent Series have a singular point on the outer and inner boundary -2 When can a complex function have non isolated singularities? +10 Let $f(z)$ be an entire function with an entire inverse. Prove that as $z$ goes to infinity, $|f(z)|$ goes to infinity. +5 Application of the cyclic decomposition theorem to a linear transformation

 1 Probability - Interview Question 1 Find all values of $k$ such that the series with terms $k^n / n^k$ converges.

### Tags (81)

 1 calculus × 12 0 linear-transformations × 13 1 sequences-and-series × 8 0 matrices × 12 1 convergence × 5 0 real-analysis × 9 1 probability × 2 0 limits × 6 0 linear-algebra × 19 0 first-order-logic × 5