I am having a hard time understand these two concepts
Algebraic multiplicity and Geometric multiplicity of a matrix regarding its eigenvalues
if I have the matrix:
| 5 0 0 | | 1 5 0 | | 0 1 5 |
The eigenvalues are 5,5,5, so what does this mean about its multiplicity?
Is geometric multiplicity the number of similar eigenvalue? In this case, 3
and algebraic multiplicity the number of unique eigenvalue? In this case, 1