# Dynamical PlotLegends with two indices

I need to plot several eigenvalues from different matrices, so I would like to know how can I change the name of the curve with each set of matrices-eigenvalue. What I am doing is the following:

For[i = 1, i < 9, i++,
For[j = 1, j < 9, j++,
t[i, j] = {{t11[i, j], t12[i, j], t13[i, j]},
{t21[i, j], t22[i, j], t23[i, j]},
{t31[i, j], t32[i, j], t33[i, j]}} ;
eint[i, j] = Eigenvalues[t[i, j]]
]
]


In the loop I create a big amount of matrices $$t$$ (each t[i,j] is a matrix), and its eigenvalues are in eint, Then I make the plots of all eigenvalues such that

Show[
Table[
Plot[
{Abs[eint[i, j][[1]]], Abs[eint[i, j][[2]]], Abs[eint[i, j][[3]]]},
{p, 0.01, 1}, PlotRange -> {{0, 1}, {0.4, 1} }
],
{i, 1, 8}, {j, 1, 8}
]
]


where eint[i, j][[1]] is the first eigenvalue of the matrix t[i,j].

The problem is that I need to write the corresponding matrix in the legend. I tried creating two lists with the names of the matrices

namat02 = {"mc011", "mc012", "mc013", "mc014", "mc015", "mc016", "mc017", "mc018"}
namat03 = {"mc031", "mc032", "mc033", "mc034", "mc035", "mc036", "mc037", "mc038"}


and then

PlotLegends->{
{namat02[[i]] <> "-" <> namat03[[j]] <> "-l1"},
{namat02[[i]] <> "-" <> namat03[[j]] <> "-l2"},
{namat02[[i]] <> "-" <> namat03[[j]] <> "-l3"} }


but is not working. Does anyone have any idea how this can be done?

• @MarcoB Hi, yes there is a mistake, actually, I think it has to be <>"-l1", and yes a closing brace was missing. Thanks – mors Apr 3 at 14:03