Invertible

Invertible

1. Row equivalent to I

   • det not equal to zero
     • Ax=b has a unique solution
       • Ax=0 has a unique solution iff
         • rank(A)<n
     • v1,v2 is a basis for Fn
     • v1, .., vn are LI
   • with optional zero rows
     • the row sapce spans the entire space F^n

2. a product of elementary matrices

3. Rank(A) =n

4. NOT INVERTIBLE

   • Det=0
     • Zero row
     • Two identical rows