Problem 1: Denote by Ruo to be the linear map R3 k, IR3 which rotates points around the vector by...
Let rx: R3 → R3 be the linear transformation which rotates counter-clockwise around the x-axis by an angle of π/4 radians. Similarly, let ry be the rotation by an angle of π/4 radians around the y axis. (a) Find the standard matrices for rx and ry (b) Find the standard matrix for rx o ry (c) Find the standard matrix for ry o ry
Hi, could you post solutions to the following questions. Thanks. 2. (a) Let V be a vector space on R. Give the definition of a subspace W of V 2% (b) For each of the following subsets of IR3 state whether they are subepaces of R3 or not by clearly explaining your answer. 2% 2% (c) Consider the map F : R2 → R3 defined by for any z = (zi,Z2) E R2. 3% 3% 3% 3% i. Show that...