This is pertaining to my recent question What are the algebraic and geometric multiplicities of the eigenvalues of a Kronecker (or tensor) product?. I chose to ask about both the algebraic and geometric eigenvalues in the same question. It felt iffy, but I somehow thought that the answers would be both fairly short and closely related.
This doesn't seem to be the case after all, so I wonder if I should split it up now, sooner rather than later, before answers start coming in? I'm not sure how best to handle this. Since most comments have been about the algebraic multiplicity (which seems to be the easier case), I propose to edit the current post to be about algebraic multiplicity only, and then make a new post for the geometric multiplicity.