Complex matrices are similar over $R$ iff they and thier conjugates are similar over $C$.
57515
Similar matrices and field extensions
139317
If $A$ is a complex matrix of size $n$ of finite order then is $A$ diagonalizable ?
139685
If $A^2$ and $B^2$ are similar matrices, do $A$ and $B$ have to be similar?
66709
Are the matrix products $AB$ and $BA$ similar?
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
25357
Matrices $B$ that commute with every matrix commuting with $A$
11566
Similar matrices and minimal polynomial
146046
Are two matrices having the same characteristic and minimal polynomial always similar?
122958
$R/I$ is commutative iff $rs-sr \in I$
73773
$C(M)=\{A\in M_n(\mathbb{C}) \mid AM=MA\}$ is a subspace of dimension at least $n$.
63753
Eigenvalues of product of two complex matrices
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
134442
Can a matrix in $\mathbb{R}$ have a minimal polynomial that has coefficients in $\mathbb{C}$?
41436
rank of complex conjugate transpose matrix property proof
57318
Property of the conjugate transpose matrix with inner product
111550
Let $A$ be a square complex matrix of size $n$ then $\langle Ax,x\rangle=0$ for $\forall x \in \Bbb C^n$ $\iff A=0$
1750
Fredholm alternative theorem for matrices