This is the first part of a four-part problem.

Let

[math] [math]

  1. Show that [math] is a solution to the system [math] by evaluating derivatives and the matrix product

    [math]
    Enter your answers in terms of the variable [math].

    [math] [math]
    =
    [math][math]


  2. Show that [math] is a solution to the system [math] by evaluating derivatives and the matrix product

    [math]
    Enter your answers in terms of the variable [math].

    [math] [math]
    =
    [math][math]