Source: wikibot/semisimple-operator
= Semisimple operator
{wiki=Semisimple_operator}
In the context of linear algebra and functional analysis, a **semisimple operator** is an important concept that relates specifically to a linear operator on a finite-dimensional vector space. An operator \\( T \\) on a finite-dimensional vector space \\( V \\) is termed **semisimple** if it can be diagonalized, meaning that there exists a basis of \\( V \\) consisting of eigenvectors of \\( T \\).