$A,B \in M_n(\mathbb{R})$ are similar over $\mathbb{R}$ if they are similar over $\mathbb{C}$
12213
Similarity of real matrices over $\mathbb{C}$
143354
Prove that there exists $c\in\mathbb{R}$ such that $f'(c)=f(c)$
6091
Similarity of products $AB$ and $BA$ of square matrices
62755
The simplest way of proving that $|\mathcal{P}(\mathbb{N})| = |\mathbb{R}| = c$
17677
Prove or show a counter example for: $\forall a, b, c \in \mathbb Z$, if $ab\mid c$ then $a\mid c$ and $b\mid c$
28021
Showing that these two definitions of $\gcd(a,b)$ are equivalent
41611
Open and closed set in n by n matrices space.
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
32155
Prove that if for every $x \in \mathbb{R}^N$ $Ax=Bx$ then $A=B$
48658
Let $A$ and $B$ be $n\times n$ matrices. Suppose $A$ is similar to $B$. Prove trace($A$) = trace($B$).
31436
Show that for all $a\in\mathbb{N}$, there exists $b\in\mathbb{N}$ and square-free integer $c$ such that $\sqrt{a}=b\sqrt{c}$.
59424
Showing that $B=\{(x,y) \in \Bbb{R^2} \mid \ xy>0 \}$ is an open set
137626
If $a,b,c$ are positive integers,and $\cfrac{a}{b}+\cfrac{b}{c}+\cfrac{c}{a}$ and $\cfrac{b}{a}+\cfrac{c}{b}+\cfrac{a}{c}$ are integers then $a=b=c$
79526
How do I tell if matrices are similar?
62770
Does $a\mid bc$ imply $a\mid b$ or $a\mid c$?
42883
Cross product in $\mathbb R^n$
151161
norms on vector space are equivalent iff they have same topology