Apply the 57-degree counterclockwise rotation about the origin to the vectors

Question

[1, 0] and [0,1], then use the image vectors (written as columns) to form the coe cient matrix M for the rotation. Test M by calculating the products
M[1]
[0] and
M[0]
[1 ]. Where does this
rotation send the vector [3, 1]? Does M, when applied to
[3]
[1] , do its job correctly?

btw...the "M's" mean matrix

Answer 1

so, do you know the rotation matrix?