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