Show that the set \[ \{A\in M_n(\mathbb C):\det A\ne0\} \] is dense in \(M_n(\mathbb C)\).
Invertible complex matrices are dense
P-CHAVAN-CA-9-1
- Area
- Complex Analysis
- Status
- draft
P-CHAVAN-CA-9-1
Show that the set \[ \{A\in M_n(\mathbb C):\det A\ne0\} \] is dense in \(M_n(\mathbb C)\).