Let \(H = \left\{ \begin{bmatrix} a & b \\ 0 & d \end{bmatrix} \,\middle|\, a, b, d \in \mathbb{R},\ ad \neq 0 \right\}\). Is \(H\) a normal subgroup of \(GL(2, \mathbb{R})\)?
Upper triangular matrices are not normal in $GL(2,\mathbb R)$
P-CH9S-006
- Area
- Algebra
- Status
- draft