The determinant of the product of two matrices (collineations) is equal to the product of the determinants of the two matrices (collineations). Projective Geometry - Page 269by Oswald Veblen, John Wesley Young - 1910Full view - About this book
| OSWALD VEBLEN - 1910
...of the matrix, the latter matrix is equivalent to the so-called identical matrix,* '100 0 1 0 ,0 0 1 **Furthermore, Equations (3), § 67, show that if a...determinants of the two matrices (collineations).** From what has just been said it is clear that a matrix does not completely define a collineation, unless... | |
| R. C. Coates, M. G. Coutie, F. K. Kong - Technology & Engineering - 1988 - 605 pages
...1// =0 (10.5-6l where 1 is an n H n unit matrix. Since the determinant of the product of two matrices **is equal to the product of the determinants of the two matrices,** Eqn 10.5-6 can be written: /M1M-, K, - to2 1/ = 0 (10.5-7l Since M is a diagonal matrix whose elements... | |
| Yadolah Dodge - Juvenile Nonfiction - 2008 - 616 pages
...Consider A and B, two square matrices of order n. The determinant of the product of the two matrices **is equal to the product of the determinants of the two matrices:** By developing along the last column: 3 2 2 -2 FURTHER READING +• Inversion +• Matrix +• Permutation... | |
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