Nilpotent Matrices in Jordan Decompositions

In this representation, the greener the square, the larger the entry relative to the others. A power of a diagonal matrix is the diagonal matrix formed by taking the power of its entries. Powers of upper- or lower-triangular matrices are again matrices of the same type. Powers of a tridiagonal matrix spread out from the main diagonal. A superdiagonal matrix has its nonzero entries above the main diagonal; a subdiagonal matrix has its nonzero entries below. The nonzero entries of powers of either type retreat one diagonal at a time to a corner. Such matrices are nilpotent, meaning that eventually one of their powers is the zero matrix. This shows that matrices are very unlike ordinary numbersComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic