Given that $A$ and $B$ be $n \times n$ matrices over $\mathbb{C}$ then choose the correct option
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
64656
how do you prove that $A\times (B\setminus C) = (A\times B) \setminus (A\times C)$?
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
75066
If the product of two square matrices is invertible, then both matrices are invertible
158355
If $A$ commutes with $B$ and $B$ commutes with $C$, then $A$ commutes with $C$
26861
$a+b=c \times d$ and $a\times b = c + d$
106416
If $n,m \in \mathbb{N}$ then there are $c,d$ such that $cd = (m,n)$, $(c,d) = 1$ and $(m/c,n/d) = 1$.
8920
There exists $C\neq0$ with $CA=BC$ iff $A$ and $B$ have a common eigenvalue
115582
Prove that if a product$ AB$ of $n\times n$ matrices is invertible, so are the factors $A$ and $B$.
41611
Open and closed set in n by n matrices space.
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
55031
Show any matrix $A_{n\times n}$ can be written as sum of two nonsingular matrices
138707
show that if $a | c$ and $b | c$, then $ab | c$ when $a$ is coprime to $b$.
36314
If $Ax = Bx$ for all $x \in C^{n}$, then $A = B$.
74460
Matrices A+B=AB implies A commutes with B