#ATTENDANCE QUIZ FOR LECTURE 10 of Dr. Z.'s Math336 Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p10
#with an attachment called
#p10FirstLast.txt
#(e.g. p10DoronZeilberger.txt)

#Right after attending the lecture, but no later than 4:00pm that day

LIST ALL ATTENDANCE QUESTIONS AND THEIR ANSWERS


#1 Who made fractals a household name? 

Benoit Mandelbrot.


#2 Find the eigenvectors of the system of equations used in class. Given v = [1,1], write v as a combination of the eigenvectors and find (A^2)v, (A^3)v, É. 


The eigenvectors are v1 = [3,4] and v2 = [2,3].

[1,1] = [3,4]-[2,3], so v = v1-v2. 

Using Maple, we get the sequence (A^2)v, (A^3)v,É:

for i from 0 to 20 do
    print((1/2)^i*[3, 4] - (3/4)^i*[2, 3]);
end do;
                             [1, 1]
                            [0, -1/4]
			   [-3/8, -11/16]
			  [-15/32, -49/64]
				and so onÉ.