1. The problem statement, all variables and given/known data Hi! I just used MATLAB to find the eigenvalues and eigenvectors of A=[0 -1; 1 0] I obtained the eigenvalues of 0 +/- i and eigenvectors of v(1) = [ 0.7071; 0 - 0.7071i] and v(2) = [ 0.7071; 0 + 0.7071i] 2. Relevant equations I'm having trouble interpreting these results in relation to the geometric properties of the linear transformation T(x; y) = [0 -1; 1 0] [x; y] 3. The attempt at a solution As far as what the transformation does this is my explanation: It changes the sign of the y values i.e. positive to negative or negative to positive. As far as interpreting the MATLAB results in relation to the geometric properties of the linear transformation T, I can only explain it as: the eigenvalues illustrate that the x values remain the same but the y values change in sign. Is such an explanation correct. Is this what the transformation does. Sorry I haven't done much mathematical explainations and not quite sure if this is how to go about it. Thank you in advance.