1. For each of the following geometric operations in the plane, find a 2×2 matrix that defines the matrix transformation performing the operation. a. Rotates vectors by 180°. b. Reflects vectors in the vertical axis. c. Reflects vectors in the line y = -x. d. Rotates vectors counterclockwise by 60°. e. First rotates vectors counterclockwise by 60° and then reflects in the line y=x.