Question: linear algebra is there any formula for pitch yaw and...

LINEAR ALGEBRA: IS THERE ANY FORMULA FOR PITCH, YAW AND ROTATE? PLEASE FOLLOW THE COMMENT

For each of the following linear operators on R2,
find the matrix representation of the transformation
with respect to the homogeneous coordinate
system:

(a) The transformation L that rotates each vector
by 120◦ in the counterclockwise direction

(b) The transformation L that translates each point
3 units to the left and 5 units up

(c) The transformation L that contracts each vector
by a factor of one-third