#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 Question 1: Who was the person who popularized fractals in science? Answer: Mr Fractals is Benoit Mandelbrot Question 2: Find the eigenvectors of the given matrix from today’s class with the eigenvalues found. Then find vector V and then linearize it for the vector [1, 1]. The eigenvalues found were Lamda1 = ⅓, and Lamda2 = ¾ The matrix is -3/2 3/2 -3 11/4 The eigenvector for Lambda1 is [3. 4] The eigenvector for Lambda2 is [2, 3] [1, 1] = alpha1 * [3, 4] + alpha2 * [2, 3] 3x + 2y = 1 4x + 3y = 1 4.5x + 3y = 1.5 4x + 3y = 1 .5x = .5 X = 1 Y = -2 Therefore, V = [3. 4] - 2* [2, 3]