Complex sentence: J is called the Jordan normal form of A and corresponds to a generalization of the diagonalization procedure: a diagonalizable matrix is similar, in fact, to a special case of Jordan matrix: the matrix whose blocks are all 1\\ times 1.
Split into simpler sentences: J is called the Jordan normal form of A and corresponds to a generalization of the diagonalization procedure. A diagonalizable matrix is similar, in fact, to a special case of Jordan matrix: the matrix whose blocks are all 1\\ times 1.