If two real matrices are conjugated over $\mathbb{C}$, are they then also conjugated over $\mathbb{R}$?
57515
Similar matrices and field extensions
59995
Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.
57967
Difference between $\mathbb C$ and $\mathbb R^2$
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
11620
Is it true that any matrix in $M_2(\mathbb R)$ is the sum of two squares?
132213
Is every real monic polynomial the characteristic polynomial of a real matrix?
29452
Divisor in $\mathbb{C}[X]$ $\implies$ divisor in $\mathbb{R}[X]$?
128646
$S$ is a $3\times 3$ real matrices. Then $S$ contains which matrices
75796
Is every skew-adjoint matrix a commutator of two self-adjoint matrices
57318
Property of the conjugate transpose matrix with inner product
123726
$2\times 2 $ matrices over $\mathbb{C}$ that satisfy $\mathrm A^3=\mathrm A$
123044
Commutative matrices are multiples of the identity
75066
If the product of two square matrices is invertible, then both matrices are invertible
137761
Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?
57731
Can commuting matrices $X,Y$ always be written as polynomials of some matrix $A$?
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
84869
Are the groups $\mathbb{C}$ and $\mathbb{R}$ isomorphic?