Solution
= Solution
$GL_2(\mathbb C)$ consists of invertible $2\times2$ complex <matrices> and $SL_2(\mathbb C)=\ker\det$. It is normal, and the first isomorphism theorem gives $GL_2/SL_2\cong\mathbb C^*$.
= Solution
$GL_2(\mathbb C)$ consists of invertible $2\times2$ complex <matrices> and $SL_2(\mathbb C)=\ker\det$. It is normal, and the first isomorphism theorem gives $GL_2/SL_2\cong\mathbb C^*$.