$A\in M_n(F)$ is called cyclic, I have to show , the representation of A has the following form
96530
Matrix representation of linear map in this basis
142863
Show that every ideal of the matrix ring $M_n(R)$ is of the form $M_n(I)$ where $I$ is an ideal of $R$
138069
Proof that $\bigcap_{a\in A} \bigg(\, \bigcup_{b\in B} F_{a,b} \, \bigg) = \bigcup_{f\in ^AB} \bigg(\, \bigcap_{a \in A} F_{a,f(a)}\,\bigg) $
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic
126197
Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same
96380
Representation of $\text{sl}(2,\mathbb{C})$
78471
Closure of $\{\frac{1}{n}\}:=M$
1570
Show that log $Fib_{n}$ is $\theta(n)$
130081
Show that $A_n$ is the kernel of a group homomorphism of $S_n \rightarrow \{−1,1\}$.
132725
Is $\mathbb{Z}/\langle n\rangle$ cyclic and of order $n$?
59533
If $\gcd(m,n)=1$, then $\mathbb{Z}_n \times \mathbb{Z}_m$ is cyclic.
61394
The product of finitely many cyclic groups is cyclic
111056
Harmonic conjugate of $\ln|z|$ in $\mathbb C \setminus \{0\}$
8494
Proof Check: Number of elements of $\mathbb{F}_{p^{n}}$ of the form $a^{p}-a$ for some $a \in \mathbb{F}_{p^{n}}$.
35664
If $x^m=e$ has at most $m$ solutions for any $m\in \mathbb{N}$, then $G$ is cyclic
92430
Show that the group is cyclic.