Find the transformation matrix that rotates the axis [tex]x_3[/tex] of a rectangular coordinate system 45 degrees toward [tex]x_1[/tex] around the [tex]x_2[/tex] axis. I have a question about what exactly are the [tex]x_1,x_2,x_3[/tex] supposed to be. Do I assume that they are the x,y,z axis? Also, what is the general form of a two-dimensional transformation matrix? I know that there are different ones for rotation, scaling, shearing, and so on. But is there a general form for a 2x2 transformation matrix?