10 Year. Morningstar rated the Global Technology Fund among 196, 196, 186 and 144 Technology funds for the overall rating and the 3-, 5-, and 10-year periods (as applicable) ending 02/28/2017, respectively.
Geometrically an eigenvector, corresponding to a real nonzero eigenvalue, points in a direction that is stretched by the transformation and the eigenvalue is the factor by which it is stretched. If the eigenvalue is negative, the direction is reversed.
The dimension of this kernel is then said to be the geometric multiplicity of the eigen-value. Hence, in one case, one has to compute some polynomial; while, on the other hand, one has to compute some transformations, to find its kernel, and to determine the dimension of the kernel, to find the multiplicites of eigen-values.