1. ## eigenvalues

find the eigenvalues of the linear transfromation L:R^2x2-->R^2x2 defined by L(A)=A^T + A

i get the whole obtaining eigenvalue process but i'm not sure how to get the matrix of linear transformation? help please

2. Were you given $\displaystyle A$ or do you have to find eigenvalues from a general sense?

3. general sense

4. Ok, make $\displaystyle A = \left(\begin{array}{cc}a&b\\c&d\end{array}\right)$

Now can you find $\displaystyle A^T$ ?