midterm2-soln - 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 | Course Hero

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?

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(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:

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