1. Find the standard matrix defined by the linear transformation

T(x,y,z) = (x-2y, -2x-y+z,-z)

is it going to be

2. Let be the linear transformation corresponding to a rotation by an angle of about the x axis in and Let be the linear transformation corresponding to a rotation by an angle of about the z axis in

will the standard matrix be

and

Am I right with the above answers?