Some consequences of the rank normal form of a matrix
If A is a rectangular matrix of rank r, then A may be written as PSQ where P and Q are invertible matrices and s=(IrOOO)s = \left( {\matrix{ \hfill {{{\rm{I}}_{\rm{r}}}} & \hfill {\rm{O}} \cr \hfill {\rm{O}} & \hfill {\rm{O}} \cr } } \right). This is the rank normal form of the matrix A.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2019-12-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/ausm-2019-0028 |