M lab - a.( X Edufide X G G gmail - X C image X Design X G curvatu X curvatu X M Math - X G math fc x e OA12 ( X Dashbc X C Let L:R X . V X F C eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=5 * IA : Quiz navigati Problem: Let R : RS -> 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). 3 . R rotates R about L through the angle t = 2 7 according to the Right Hand Rule. 8 9 Find the matrix which represents R with respect to standard coordinates. Solution: A right handed ordered ONB B = {a, b, r} for RS, with r the unit vector in the direction of v, has Finish attempt = b = a The change-of-basis matrix which converts from 1-coordinates to standard coordinates is [P]& B = The matrix which represents R with respect to B-coordinates is [R B - B = -30 C Q Search ENG 11:18 PM Mostly clear US 2023-04-05 3M lab - a.( X Edufide X G gmail - X C image X Design X G curvatu X curvatu X M Math - X G math fc x e OA12 ( X Dashbc X C Let L:R X V X eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=5 : b = a The change-of-basis matrix which converts from 1-coordinates to standard coordinates is [P]& 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] = Check Last saved at 23:17:27 -3 0 C ENG 11:18 PM Mostly clear Q Search US 2023-04-05 3M lab - a.( X Edufide X G G gmail - X C image X Design X G curvatu X curvatu X M Math - X G math fc x e OA12 ( X * Dashbc X C Let L:R 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 on has the eigenvectors V1 -1 . V2 - H H -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. /1