Invertible.md (350B)
1 # Invertible (Matrix) 2 3 Khan 4 5 **Definition:** For a matrix A to be invertible there must be another matrix B such that A * B = I and B * A = I where I is the identity matrix. 6 7 If a matrix has an invenrse then it has a unique inverse. 8 9 **Proposition:** 10 11 A linear map (matrix) is invertible iff it is injective and surjective (spans the ambient space).