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Student[LinearAlgebra]

 JordanBlockMatrix
 construct a Matrix of Jordan blocks

 Calling Sequence JordanBlockMatrix(K, options)

Parameters

 K - list of ordered pairs of the form [eigenvalue, dimension] options - (optional) parameters; for a complete list, see LinearAlgebra[JordanBlockMatrix]

Description

 • The JordanBlockMatrix(K) command, where K is a list of ordered pairs [a, b], constructs a Matrix whose diagonal blocks are b-dimensional Jordan blocks defined by a.

Examples

 > $\mathrm{with}\left({\mathrm{Student}}_{\mathrm{LinearAlgebra}}\right):$
 > $\mathrm{JordanBlockMatrix}\left(\left[\left[x,3\right],\left[5,1\right],\left[y,2\right]\right]\right)$
 $\left[\begin{array}{cccccc}{x}& {1}& {0}& {0}& {0}& {0}\\ {0}& {x}& {1}& {0}& {0}& {0}\\ {0}& {0}& {x}& {0}& {0}& {0}\\ {0}& {0}& {0}& {5}& {0}& {0}\\ {0}& {0}& {0}& {0}& {y}& {1}\\ {0}& {0}& {0}& {0}& {0}& {y}\end{array}\right]$ (1)
 > $\mathrm{JordanBlockMatrix}\left(\left[\left[2,2\right],\left[3,2\right]\right]\right)$
 $\left[\begin{array}{cccc}{2}& {1}& {0}& {0}\\ {0}& {2}& {0}& {0}\\ {0}& {0}& {3}& {1}\\ {0}& {0}& {0}& {3}\end{array}\right]$ (2)