Belgi

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193 Answers

newest activity votes
26
If $A$ is singular, is $A^3+A^2+A$ singular?
15
Linear independence of $\sin(x)$ and $\cos(x)$
11
Solving $5^n > 4,000,000$ without a calculator
10
For $n∈ N$, determine the real part of $(1 + i\sqrt{3})^{n}$
9
Prove that $AB=BA=0$ for two idempotent matrices.
8
If $[L : K ] = n$, then for every irreducible polynomial $f$ is $\operatorname{deg}(f) \le n$.
7
Last four digits of $S=9+9^2+9^3+\ldots+9^{400}$
7
Shortest paths from $s$ by weight which contain even number of edges
7
Appropriate Notation: $\equiv$ versus $:=$
6
Prove that $A=\left(\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right)$ is not invertible
6
How to show $\mathbb{Q}(\alpha^{4})=\mathbb{Q}(\alpha)$?
5
Number of solutions for sixth order equation
5
Abelian rings question
5
Is the group direct sum operation itself a group operation?
5
Reducing a fraction with the denominator as a root.
5
An eigen value problem
5
If $I = \langle 2\rangle$, why is $I[x]$ not a maximal ideal of $\mathbb Z[x]$, even though $I$ is a maximal ideal of $\mathbb Z$?
4
Given 2 linear maps T,S while $T^2 = S^2$. Does it necessarily mean that T=S or T=-S?
4
Prove that if $\lim f$ exists and $\lim (f+g)$ does not exists, then $\lim g$ does not exist.
4
What is my mistake when evaluating this limit?
4
Are all infinities equal?
4
Does there exist a bijection between empty sets?
3
Factorize in R[x]
3
Suppose $U$ and $V$ are finite dimensional spaces. Prove that $U$ and $V$ are isometric if and only if $\dim V=\dim U$
3
How to prove that $\int_\gamma ze^{z^2} dz = 0$ for any closed curve $\gamma$
3
$E/\mathbb F_q$ extension field. Show $[\mathbb F_q(\alpha) : \mathbb F_q]$ is smallest $n$ satisfying property.
3
Find the distribution of X, EX, and VarX.
3
Is $\mathbb Z _p^*=\{ 1, 2, 3, … , p-1 \}$ a cyclic group?
3
Is the term true? $\frac{\theta}{\theta - 1 } = \frac{1} {\theta-1} + 1$
3
Group theory - subgroups
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