construct a (block) diagonal Matrix
Vector or list; diagonal entries
(optional) parameters; for a complete list, see LinearAlgebra[DiagonalMatrix]
The DiagonalMatrix(V) command constructs a (block) diagonal Matrix whose diagonal entries, starting from the upper-left corner, are the elements of V.
If V is a Vector or a list of scalar values, then the blocks are 1⁢x⁢1 and DiagonalMatrix(V) constructs a diagonal Matrix.
If V is a list B1,B2,…,Bn containing any non-scalar value, then the blocks are not necessarily 1⁢x⁢1 and DiagonalMatrix(V) builds a Matrix by placing each element, Bj, of V as an expanded block of entries, with each block placed immediately below and to the right of its predecessor. If the elements of V are all square (scalar values or square Matrices), a diagonal or block diagonal Matrix in the usual sense is returned.
By using this command in conjunction with the JordanBlockMatrix command, you can create a Jordan Matrix.
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