#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 Q1: Who made fractals famous? A1: Benoit Mendelbrot Q2: Find eigenvectors of corresponding eigenvalues found in class, give iterations as well. A2: lambda1=3/4, eigenvector1= [2/3, 1] (column vector) lambda2=1/2, eigenvector2= [3/4,1] evalf(seq(A^n.eigenvector1 + A^n.eigenvector2, n=1..100)) [0.8750000000] [0.5625000000] [0.3750000000] [0.2578125000] [ ], [ ], [ ], [ ], [1.250000000 ] [0.8125000000] [0.5468750000] [0.3789062500] [0.1816406250] [0.1303710938] [0.09484863281] [ ], [ ], [ ], [0.2685546875] [0.1936035156] [0.1412963867 ] [0.06967163086] [0.05152130127] [0.03827476501] [ ], [ ], [ ], [0.1040191650 ] [0.07703781128] [0.05729007721] [0.02852296829] [0.02130067348] [0.01592972875] [ ], [ ], [ ], [0.04272341728] [0.03192049265] [0.02387933433] [0.01192440838] [0.008931862190] [0.006693174597] [ ], [ ], [ ], [0.01787898317] [0.01339397859 ] [0.01003785455 ] [0.005017019925] [0.003761334432] [0.002820285568] [ ], [ ], [ ], [0.007524576213] [0.005641524811] [0.004230189934] [0.002114856548] [0.001585963597] [0.001189383291] [ ], [ ], [ ], [0.003172165613] [0.002378885791] [0.001784045134] [0.0008919927648] 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