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On Differentiating a Matrix
| Content Provider | Scilit |
|---|---|
| Author | Turnbull, H. W. |
| Copyright Year | 1927 |
| Description | The theorem is well known. So also is the theorem that if concerning a determinant Λ and its reciprocal expressed by means of cofactors $A_{ij}$ of $a_{ij}$. Not quite so well known is the Cayley Hamilton theorem that a matrix X $=[x_{ij}$] satisfies its own characteristic equation Unlike as these three results are, they nevertheless can be looked upon as particular phases of a general theorem concerning a matrix differential operator acting upon a function of a matrix X or its transposed. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BAAD2EF8A085119E37D8AC777021BD3D/S0013091500007434a.pdf/div-class-title-on-differentiating-a-matrix-div.pdf |
| Ending Page | 128 |
| Page Count | 18 |
| Starting Page | 111 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091500007434 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 2 |
| Volume Number | 1 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1927-05-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Matrix Differential Theorem That If Concerning |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
