“The number of distinct eigenvalues has to equal the dimension of the space.”
That may be a sufficient condition but it is definitely not a necessary one. The identity matrix has only one eigenvalue, but it has a set of eigenvectors that span the space.
“The number of distinct eigenvalues has to equal the dimension of the space.”
That may be a sufficient condition but it is definitely not a necessary one. The identity matrix has only one eigenvalue, but it has a set of eigenvectors that span the space.