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 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 [To S] = [ S o T] = Check Last saved at 0:59:11 C -30 C Q Search 1:00 AM Mostly clear ENG US 2023-04-06 4M 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 eclass.srv.ualberta.ca/mod/quiz/attempt.php?attempt=12777327&cmid=6755852&page=1 *IA : In R', let R be the reflection about the plane which is perpendicular to the vector n = (-4, 4, -4) Find the standard matrix which represents R. R = Check Last saved at 1:00:34 Previous page C W 1:00 AM Mostly clear Q Search 59+ CA ENG US 2023-04-06 3M lab - a.( X Edufide x G gmail - x C image X 3 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 C 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 R". 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. ( T O 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 Last saved at 1:00:51 C -30 C ENG 1:00 AM Mostly clear Q Search US 2023-04-06