تقرير
Elimination and Factorization
| العنوان: | Elimination and Factorization |
|---|---|
| المؤلفون: | Strang, Gilbert |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | If a matrix $A$ has rank $r$, then its row echelon form (from elimination) contains the identity matrix in its first $r$ independent columns. How do we \emph{interpret the matrix} $F$ that appears in the remaining columns of that echelon form\,? $F$ multiplies those first $r$ independent columns of $A$ to give its $n-r$ dependent columns. Then $F$ reveals bases for the row space and the nullspace of the original matrix $A$. And $F$ is the key to the column-row factorization $\boldsymbol{A}=\boldsymbol{CR}$. Comment: 5 pages, no figures, 4 references |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2304.02659Test |
| رقم الانضمام: | edsarx.2304.02659 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |