(a) (30 points) the eigenvalues, traces, and characteristic polynomials of the given matrix. (b) (10 points) Use the results from part (a) to confirm Theorems 1 and 3. 2. (40 points) For the following matrix, 12-5 13 -6 -5 12 7 14 6 -1 8 18 -8 14 13 9 2 1 B = 2 4 6 8 -2 15 -14 0 -6 14 8 -13 8 16 -8 -3 5 15 use MATLAB to compute (a) (30 points) the eigenvalues, traces, and characteristic polynomials of the given matrix. (b) (10 points) Use the results from part (a) to confirm Theorems 1 and 3. Write all your Matlab and outputs i Word document to copy paste from Matlab Give a name to your answer file as your name and student Id. Then upload it to Agent folder in Italearning Do not send your assignment by e- mail. Asimest by e-mail will not be evaluated. Assignments will not be accepted after the deadline las passed Theorem 1 let bemertible smatra with signals de Thore the circle of Theorem 2 Lot A and B bilar marie Then and hence the eigenalux of A and B are identical Theorem a la de un med... The It follows from Theorem at the trees of samler matrices antepal 1. (40 points) For the selle in mattis. -12-19-3 12 10 11-19 12 -12-18 13-14 MATLAB compte In (30 points) the eigewales tres and character peak of the great (10 points Use the results from part (w) to confirm Thermal 2. (40 points) For the following nutri, 12 -12-513-6-5 -1 1 |--4-1-13 MATLAB to compute (30 points) the trees and charactele peale teha (10 point) Use the front of The 30 points) w MLAs compare the carterapeutic matrac -102 Desite this prodymundial der zu(A) = -(x + pod + PA+ The computer the materia What do you cho In-). Compute them for emples the other e mai determine whether you want