Math 210-01: Linear Algebra: Reading Homework 2.3

1. The Inverse of a Matrix : how is a multiplicative inverse defined in standard algebra?
   
   1. Invertibility : what do we mean by invertibility? what other word is used for this property?
      
      1. finding inverses : how do we find the inverse of a matrix? how is this related to augmented matrices and row-reduction?
         
      2. noninvertibility : how will we discover if a matrix has no inverse?
         
      3. determinants : what is the determinant of a 2x2 matrix?
         
   2. Properties of the inverse : what properties does the inverse of a matrix have?
      
      1. inverse of a product : what is the inverse of a product of matrices? how is this similar to the transpose of a product of matrices?
         
      2. cancellation : under what circumstances will cancellation work in matrix algebra?
         
      3. linear equations : what consequence does invertibility have for the solution of a system of linear equations?