diagonal block matrix

A block diagonal matrix, also called a diagonal block matrix, is a square diagonal matrix in which the diagonal elements are square matrices of any size (possibly even 1×1), and the off-diagonal elements are 0. A block diagonal matrix is therefore a block matrix in which the blocks off the diagonal are the zero matrices, and the diagonal matrices are square.

block matrix | Cayley-Hamilton theorem | diagonal matrix | direct sum | Jordan canonical form | linear transformation | matrix | matrix direct sum