Matrix

I understand a and b but am stuck on c and d. Need outline of solution

Attractive delta function potential with step function

Similar problem might show up on my test tomorrow so I need to know how to do this one properly.

Finite Square Well Within An Infinite Square Well

For some reason I cannot end up with the expression in part A. If someone could go through this problem I would appreciate it. PS. The professor did not respond to my question whether there was a typo in the equation in part A. Since I cannot end up with the equation in part A and since it was suggested that the equation is wrong no matter what I will have to assume that the solution is different.

Delta Function Potential Suddenly Changing to Infinite Square Well Potential.

See attached file.

prove that d(ax) = d(x)/|a| where d(x) is the Direc delta function and d stands for the Greek letter delta.

Prove that d(ax) = d(x)/|a| where d(x) is the Direc delta function and d stands for the Greek letter delta.