How to prove $\det(AB)=\det(A)\det(B)$ using group theory? $A,B\in GL(n,R)$
9574
How to show that $\det(AB) =\det(A) \det(B)$?
29269
fundamental group of $GL^{+}_n(\mathbb{R})$
69641
Determinant identity: $\det M \det N = \det M_{ii} \det M_{jj} - \det M_{ij}\det M_{ji}$
150199
How to prove for a finite group that $|\langle g \rangle|=o(g)$?
121280
Proving that $a \mathbb{Z} \cap b\mathbb{Z} = \operatorname{lcm}(a,b)\mathbb Z$
70394
Prove that $a * b$ is a group (Hungerford, 2nd ed., sec $7.2$, Exercise $22$)
128710
Prove that $\langle a^n \rangle \bigcap \langle a^k \rangle = \langle a^{lcm (n,k)} \rangle$
47179
Prove that $[N, G']=1$ when $N$ is a nilpotent subgroup of a group $G$?
77278
If $\,\gcd(a,b) = {\rm lcm}(a,b)\,$ then prove $a=b$
102817
$A,B\in M_{n}(\mathbb{R})$ so that $A>0, B>0$, prove that $\det (A+B)>\max (\det(A), \det(B))$
27056
$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
55232
Show that $g\circ f\equiv 0$ implies $\det Df\equiv 0$, where $g(x_1,...,x_n)=x_1^5+...+x_n^5$
106305
Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
72747
Proving gcd($a,b$)lcm($a,b$) = $|ab|$
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
46825
The identity det(A) = exp(Tr(ln(A)) for A general
90845
Is this posible in GR $g_{ab}g^{ab}=1$?