M lab - a.es X Edufide s x @ gmail - G X C image (4 X Design P X G curvature x curvature x M Math - a x G math for x e OA12 (pc X * Course H X. + V X eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=5 * IA : Problem: Let R : R -> R be the rotation with the following properties. . The axis of rotation is the line L, spanned and oriented by the vector v = (2, -1, -1). . R rotates Ro about L through the angle t = 2 7 according to the Right Hand Rule. Find the matrix which represents R with respect to standard coordinates. on Solution: A right handed ordered ONB B = {a, b, r} for RS, with r the unit vector in the direction of v, has r = b = a = The change-of-basis matrix which converts from 1-coordinates to standard coordinates is OneDrive . . . X [Plet B = Screenshot saved The screenshot was added to your OneDrive. The matrix which represents R with respect to 1-coordinates is -30C Mostly clear Q Search CA W ENG 1:01 AM US 2023-04-06 3M lab - a.es X Edufide S X G gmail - G X C image (4 X Design P X G curvature x * curvature X M Math - a x G math for x @ OA12 (p X * Course H X + V X eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=5 * IA : b a The change-of-basis matrix which converts from 1-coordinates to standard coordinates is [Ple B The matrix which represents R with respect to B-coordinates is [ R] B+ B = The matrix which represents R with respect to standard coordinates is [R] = C -30C 1:02 AM Mostly clear Q Search ENG US 2023-04-06M lab - a.es x 5 Edufide s x G gmail - G X C image (4 X Design P X G curvature x # curvature X M Math - a x G math for x e OA12 (pc X Course H X. + V X F -> C eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=6 *IA : You are given the information that this matrix 29 39 69 A = -41 41 -81 -11 1 -11 has the eigenvectors V1 = HNH V2 - 1 -3 V3 - 2 Calculate the eigenvalues of A corresponding to these eigenvectors, and enter your answers as a list [1, 12, 13] such that the eigenvalues are in ascending order; i.e. d1 C eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=7 * IA : Define the characteristic polynomial of a matrix A as PA(a) = det(xI - A). Then find the characteristic polynomial of the matrix - 6 6 12 A = 3 -9 -12 -3 6 9 PA(20) = format: a*(x-1) *(x-2) *(x-3) Your last answer was interpreted as follows: a . (2 - 1) . (2 - 2) . (2 - 3) The variables found in your answer were: [a, ac] Check Last saved at 1:02:48 Previous page C -3 . C 1:03 AM Mostly clear Q Search ENG US 2023-04-06