The Collected Mathematical Papers of Arthur Cayley volume 10
The Collected Mathematical Papers of Arthur Cayley volume 10
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In our eReader you can find the full English version of the book. Read The Collected Mathematical Papers of Arthur Cayley volume 10 Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Collected Mathematical Papers of Arthur Cayley volume 10
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(1878), pp. 55 57. ] IT is well known that if 12, &c. , denote the determinants formed with the matrix a, ft, 7, 8 a, ft, y, S 12 . 34 + 13 . 42 + 14 . 23 = 0. The proper proof of the theorem is obtained by remarking that we have 0=, ft, 7> a, ft, 7, a, ft, 7> a, ft, 7, as at once appears by subtracting the lirst and second lines from the third and fourth lines respectively; and, this being so, the development of the determinant gives the theorem. The theorem might, it is clear, have been obtai...ned in four different forms according as in the determinant the missing terms were taken to be as above (8, 8 ), or to be (a, a ), (ft, ft ), or (7, 7 ); but the four results are equivalent to each other.
There is obviously a like theorem for the sums of products of determinants formed with the matrix a, ft, 7, 8, , P, y, , e a", ft", 7", 8", e" C. X.
34 266 NOTE ON A THEOREM IN DETERMINANTS.
[676 viz. The theorem is obtained by development of the determinant in an identical equation, such as , 0, 7, B, .
What to read after The Collected Mathematical Papers of Arthur Cayley volume 10?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Cayley to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(1878), pp. 55 57. ] IT is well known that if 12, &c. , denote the determinants formed with the matrix a, ft, 7, 8 a, ft, y, S 12 . 34 + 13 . 42 + 14 . 23 = 0. The proper proof of the theorem is obtained by remarking that we have 0=, ft, 7> a, ft, 7, a, ft, 7> a, ft, 7, as at once appears by subtracting the lirst and second lines from the third and fourth lines respectively; and, this being so, the development of the determinant gives the theorem. The theorem might, it is clear, have been obtai...ned in four different forms according as in the determinant the missing terms were taken to be as above (8, 8 ), or to be (a, a ), (ft, ft ), or (7, 7 ); but the four results are equivalent to each other.
There is obviously a like theorem for the sums of products of determinants formed with the matrix a, ft, 7, 8, , P, y, , e a", ft", 7", 8", e" C. X.
34 266 NOTE ON A THEOREM IN DETERMINANTS.
[676 viz. The theorem is obtained by development of the determinant in an identical equation, such as , 0, 7, B, .
What to read after The Collected Mathematical Papers of Arthur Cayley volume 10?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Cayley to read onlineMoreLess
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