Diagnolization of a 3*3 matrix using eigenvalues & eigenvectors

[soheil_147]

can anyone help me to diagnolize this matrix?
|L M M|
|M L M|=A
|M M L|
we should use eigen values and eigen vectors

when we have numbers it's so easy we find them and then the diagnolized matrix is equal to = eigenvectors matrix*inverse of eigenvecros matrix*matix A
but when we have parameters i think its diff
PLEASE HELP ME

[Cap'n Refsmmat]

Do it exactly the same way you'd do it with numbers, except with variables instead. Your answer will be matrices in terms of L and M.

 

If you run into a problem doing this, let us know what you tried and where you got stuck.