Project #69089 - Matrix Computation

5 Questions from the text book and 1 matlab programming 17, 28, 30, 32, 33 In question 2.1.30, Theorem 2.1.29 is shown at the bottom of question 2.1.28. In question 2.1.28, Theorem 2.1.6 is just a Caushy-Schwarz inequality that is available on internet. I couldn't upload it because I could only upload 5 items. The matlab question: 1. Write a function in Matlab that takes as input a 2 by 2 matrix A and return as output the approximate matrix 2-norm. Compute the approximate matrix 2-norm, by multiplying A by 100 unit vectors, x_k for k=1,2,...,100, pointed in directions (2*pi/100)*k radians. The approximate matrix 2-norm is the maximum of the 100 resultant vector norms, ||A*x_k|| where for a vector v=[c d], ||v|| = sqrt(c^2 + d^2). (Note: this is a conceptual assignment and isn't how mathematicians usually calculate the matrix 2-norm. We'll learn a better way later.) (a) Write out or print out your function. (b) Run the case of A = [1 2; 3 4] and write out or print out your results. (c) Run the case of A = [5 6; 7 8] and write out or print out your results. sults. 

Subject Mathematics
Due By (Pacific Time) 05/01/2015 12:00 pm
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