Hi everyone. I'm a little confused by this math problem:

The line transformationfixes the line y = 4xTpointwiseand maps every point on the line x + 4y = 0 to the origin. What are the eigenvalues and corresponding eigenvectors of the matrixofA?T

I'm pretty sure I know how to calculate eigenvalues and their corresponding eigenvectors using the characteristic equation, but I don't know how I'm suppose to find "matrixofA" or even what the resulting transformation is suppose to look like.T

Any help would be greatly appreciated.