Cramer's Rules for the System of Two-Sided Matrix Equations and of Its Special Cases
Within the framework of the theory of row-column determinants previously introduced by the author, we get determinantal representations (analogs of Cramer's rule) of a partial solution to the system of two-sided quaternion matrix equations A1XB1=C1, A2XB2=C2. We also give Cramer's rules fo...
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| LEADER | 01729 am a22001933u 4500 | ||
|---|---|---|---|
| 001 | intechopen_books_6526 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Kyrchei, Ivan I. |e author |
| 245 | 0 | 0 | |a Cramer's Rules for the System of Two-Sided Matrix Equations and of Its Special Cases |
| 260 | |b IntechOpen, |c 2018-08-29. | ||
| 500 | |a https://mts.intechopen.com/articles/show/title/cramer-s-rules-for-the-system-of-two-sided-matrix-equations-and-of-its-special-cases | ||
| 520 | |a Within the framework of the theory of row-column determinants previously introduced by the author, we get determinantal representations (analogs of Cramer's rule) of a partial solution to the system of two-sided quaternion matrix equations A1XB1=C1, A2XB2=C2. We also give Cramer's rules for its special cases when the first equation be one-sided. Namely, we consider the two systems with the first equation A1X=C1 and XB1=C1, respectively, and with an unchanging second equation. Cramer's rules for special cases when two equations are one-sided, namely the system of the equations A1X=C1, XB2=C2, and the system of the equations A1X=C1, A2X=C2 are studied as well. Since the Moore-Penrose inverse is a necessary tool to solve matrix equations, we use its determinantal representations previously obtained by the author in terms of row-column determinants as well. | ||
| 540 | |a https://creativecommons.org/licenses/by/3.0/ | ||
| 546 | |a en | ||
| 690 | |a Matrix Theory - Applications and Theorems | ||
| 655 | 7 | |a Chapter, Part Of Book |2 local | |
| 786 | 0 | |n https://www.intechopen.com/books/6526 | |
| 787 | 0 | |n ISBN:978-1-78923-466-4 | |
| 856 | \ | \ | |u https://mts.intechopen.com/articles/show/title/cramer-s-rules-for-the-system-of-two-sided-matrix-equations-and-of-its-special-cases |z Get Online |