For each of the transformations described geometrically below, write the transformation matrix, then use geometric reasoning to write the inverse matrix. Multiply these matrices to verify that you are correct. 3 dimensions Reflect across the plane a1x1 + 22X2 + az X3 = 0. Dilate a vector by a factor of 5 (i.e. Ax = 5x). For each of the transformations described geometrically below, write the transformation matrix, then use geometric reasoning to write the inverse matrix. Multiply these matrices to verify that you are correct. 3 dimensions Reflect across the plane a1x1 + 22X2 + az X3 = 0. Dilate a vector by a factor of 5 (i.e. Ax = 5x)