Matrix Rotation

[fresh]

So here is my question:

given matrix A = 1 2 3
2 4 1
3 1 0

Does matrix A represent a rotation?


What I want to know is how do you tell if a matrix is a rotation? Do I simply find the determinant of the matrix? If it is equal to 1, I can say that the matrix represents a rotation right?

Thanks

[Wong]

For a matrix to be a rotation, it is also required that the rows/colums of the matrix be orthonormal.