Question:

(a) If Matrix A and B are orthogonal, determine whether the

Last updated: 7/31/2022

(a) If Matrix A and B are orthogonal, determine whether the

(a) If Matrix A and B are orthogonal, determine whether the following are orthogonal or not. Give full justifications for your answer. (i) A^T, (ii) B-¹, (iii) B-¹ AB. (b) Consider the transformation f: R² R³ given by f(x,y) = (x+2y,x-y,-2x+3y). Show that f is a linear transformation. Find a matrix form of this transformation.