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 (a) Let x + V X eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=1 *IA : In Ro, let R be the reflection about the plane which is perpendicular to the vector Ig: n = (-4, 4, -4) Find the standard matrix which represents R. lon [R] = Check Last saved at 23:14:39 gress Previous page C -30 C CA W 11:14 PM Mostly clear Q Search ENG US 2023-04-05 5 2M lab - a.es X Edufide s x G gmail - G X C C image (4 X Design P X G curvature x * curvature x M Math - a x G math for x e OA12 (p X Dashboa x + V X eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=3 * IA : (a) Let u and v be (fixed, but unknown) vectors in ". Suppose that T : R" -> R" is a linear transformation such that T(u) = 7utv and T(v) = 5u - 3v. on Compute (T . T) (v), where To T is the composition of T with itself. Express your answer as a linear combination of u and v. ( TO T) ( V ) = u + (b) Let v and w be (fixed, but unknown) vectors in R", which are not scalar multiples of each others. Suppose that T : R" - R" is a linear transformation such that T(-2v-3w) = 2v+3w and T(v+1w) = -2v+3w. Compute T(v) and express it as a linear combination of v and w. T( V) = W Check -30C Q Search ENG 11:15 PM Mostly clear US 2023-04-05 3M lab - a.es x 6 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 * Dashboa x + V X F -> C eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=2 *IA : Suppose T : R -> R is the linear transformation denoting reflection about the line y = -x and S : R - R is the linear transformation describing projection onto the y- axis. Then the standard matrices of T o S and of S o T are [T o S] = [SOT] = Check Last saved at 23:15:46 -30 C Mostly clear Q Search ENG 11:15 PM US 2023-04-05