Every matrix $A\in M_2(\mathbb{C})$ is similar to one of two forms
69694
Classify orbits of conjugating action on $GL_2(\mathbb{C})$
31606
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
78298
On the nilpotence of the matrix $AB-BA$
146046
Are two matrices having the same characteristic and minimal polynomial always similar?
1770
Matrix $M_1 = M(f', \mathcal{B}, \mathcal{B '})$ of $f$
137081
Is the set of real matrices diagonalizable in $\mathcal M_n(C)$ dense in the set of all companion matrices?
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
20331
Determinant of a $2\times 2$ block matrix
32767
Similar Matrices and Linear Transformations
84279
The average determinant of all integer matrices with coefficients $0,1,2$
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
38130
Complex structure on $\mathbb{C}\mathbb{P}^2\# \dots \# \mathbb{C}\mathbb{P}^2$
105727
Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$
137761
Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?