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John

Apparently, this user prefers to keep an air of mystery about them.

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12 What is a subsequence in calculus? Sep 23 '17
7 If $A$ is an $n$ by $n$ integer matrix such that $A^3 = I$, then $\operatorname{tr}(A) = n\mod3$ Dec 17 '18
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 $A$. Oct 13 '18
5 Prove that $tr(A)^p = tr(A^p)\bmod p$ where $A$ is a square integer matrix and $p$ is a prime number. Dec 18 '18
5 Finding the eigenvalues of a linear transformation which takes inputs from the set of all $n\times n$ matrices. Oct 4 '18
5 Usage of mean value theorem ; bounded derivative and open interval Jan 6 '18
4 Prove that if every linear operator which commutes with $T$ is a polynomial in $T$, then $T$ admits a cyclic vector $v$ in $V$ (finite dimensional). [duplicate] Sep 12 '18
3 Let $f(z)$ be an entire function with an entire inverse. Prove that as $z$ goes to infinity, $|f(z)|$ goes to infinity. Jul 10 '19
3 How to solve a system of linear equations modulo n? Dec 7 '17
3 Show that if $A,B$ are $2\times2$ matrices, then $(AB-BA)^2$ commutes with all $2\times2$ matrices. Jan 28 '18
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