Math 307 - 202 Midterm II (March 18, 2011) Note:There are 5 problems on both sides of the sheet, each worth 8 points. Also attached is a sheet of MATLAB commands. Problem 1:For (a) and (b), there may be more than one correct answer. (a) Which pair of vectors are orthogonal to each other?
(c) Calculate the modulus and argument of the following three complex numbers:z1 =e3+2i , z2= 3-3i, andz3=z1¯z2 . (d) Given four complex numbers:z1= 3 + 4i,z2= 7-i,z3= 4i,z4 = 1-i, write out the MATLAB/Octave commands for computing the modulus ofz5=z21¯z2 /(z1 2 3z34 ). Solution:
