Linear Algebra: Linear Transformations - Rotations
Please see the attached file for the fully formatted problems. Calculate the standard matrix for each of the following linear transformations T. a. T: R^2 -> R^2 given by rotating -pi/4 counterclockwise about the origin and then reflecting across the line x_1 - x_2 = 0. b. T: R^3 -> R^3 given by rotating pi/2 counterclo