Software
Nilpotent Matrices in Jordan Decompositions
Autor
Beck, George
Bjerregaard, Pablo Alberca
Resumen
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 numbers Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática