Can I use $\{\lambda_i,\mu_i\}$ to describe a matrix's eigenvalues and account for their multiplicity?
Here $\lambda_i$ would be the eigenvalues, and $\mu_i$ would be its multiplicity.
(I need the multiplicity of the eigenvalues in my work, in set notation, but don't want to use the notation such as $\{1,1,1,2,3,3,4,4,4,4\}$.)