# Question: linear algebra please follow the comment and please tell me...

###### Question details

**LINEAR ALGEBRA: PLEASE FOLLOW THE COMMENT and please
tell me what is the rotate matrix and why there is cos@ and -sin@ i
think it should be cos@ and sin@ on the first row**

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