1. Which of the following class topics we covered relate to determinants?
   a) Invertibility of a 2x2 matrix
   b) A determinant 1 matrix will preserve the inputs so that the range of the linear transformation is still within the domain - this is useful in the Hill cipher where we want the range to still fall within the numbers 0-26
   c) Both a) and b)
   d) Neither a) nor b)
   
   
   
   
   
2. Use determinants to evaluate which of the following matrices does not have an inverse?
   a) Matrix([[1,2],[3,4]])
   b) Matrix([[2,2],[4,4]])
   c) Matrix([[0,4],[2,0]])
   d) More than one of the above do not have inverses
   e) All of the above have inverses