Basis Memes

The multiverse of Spider-Men pointing at each other, but it's actually just a matrix A showing off its most impressive properties! When a matrix has non-zero determinant, linearly independent columns forming a basis, full rank, no free variables, unique solution to Ax=b, invertibility, and non-zero eigenvalues - they're all the SAME THING pointing at each other! This is basically the mathematical equivalent of finding out all your favorite superheroes are actually variants of the same person. Linear algebra students spend weeks learning these concepts separately before the professor drops this mind-blowing revelation that they're all equivalent conditions. Matrix identity crisis at its finest!