PHYS 116A Midterm: Physics 116A Midterm 2 2006
Document Summary
During the exam, you may refer to the textbook, the class handouts, or your own personal notes. In answering the questions, it is not su cient to simply provide a nal result. You must provide the intermediate steps needed to arrive at the nal solution in order to get full credit. The point value of each problem is indicated in brackets. Be sure to indicate all possible values if the quantity in question is multi-valued. Simplify your expressions as much as possible: [20] find all complex number solutions z to the following equations: (a) z3 = i (b) ez = 1 i. In both cases, simplify your expressions as much as possible: let a be a 3 3 matrix. Explain. (b) [10] suppose that det(a) = 1. What is the value of det(b)? (c) [5] suppose that the 3 3 matrix a 6= 0 but det(a) = 0.
