Suppose that A is an n times n matrix where aij 1. What is a good .pdf
Denunciar
Compartilhar
•0 gostou•2 visualizações
Suppose that A is an n times n matrix where |aij| 1. What is a good upper bound for det(A)|. Solution CONSIDER A NXN DIAGONAL MATRIX ITS DETERMINANT = PRODUCT OF DIAGONAL ELEMENTS SINCE EACH IOF THE DIAGONAL ELEMENTS <=1 , ITS DETERMINANT WILL BE [<=1][<=1][<=1].........N TIMES <=1 HENCE 1 IS THE UPPER BOUND FOR THE DETERMINANT OF A N X N MATRIX ..
Suppose that A is an n times n matrix where aij 1. What is a good .pdf
•0 gostou•2 visualizações
Denunciar
Compartilhar
Suppose that A is an n times n matrix where |aij| 1. What is a good upper bound for det(A)|. Solution CONSIDER A NXN DIAGONAL MATRIX ITS DETERMINANT = PRODUCT OF DIAGONAL ELEMENTS SINCE EACH IOF THE DIAGONAL ELEMENTS <=1 , ITS DETERMINANT WILL BE [<=1][<=1][<=1].........N TIMES <=1 HENCE 1 IS THE UPPER BOUND FOR THE DETERMINANT OF A N X N MATRIX ..
![Suppose that A is an n times n matrix where |aij| 1. What is a good upper bound for det(A)|.
Solution
CONSIDER A NXN DIAGONAL MATRIX
ITS DETERMINANT = PRODUCT OF DIAGONAL ELEMENTS
SINCE EACH IOF THE DIAGONAL ELEMENTS <=1 ,
ITS DETERMINANT WILL BE
[<=1][<=1][<=1].........N TIMES <=1
HENCE 1 IS THE UPPER BOUND FOR THE DETERMINANT OF A N X N MATRIX .](https://image.slidesharecdn.com/supposethataisanntimesnmatrixwhereaij1-230326083020-64b337ad/75/suppose-that-a-is-an-n-times-n-matrix-where-aij-1-what-is-a-good-pdf-1-2048.jpg?cb=1679822135)
Recomendados
Mais conteúdo relacionado
Mais de ajantaemporium1
Mais de ajantaemporium1(20)
Último
Último(20)
Suppose that A is an n times n matrix where aij 1. What is a good .pdf
- 1. Suppose that A is an n times n matrix where |aij| 1. What is a good upper bound for det(A)|. Solution CONSIDER A NXN DIAGONAL MATRIX ITS DETERMINANT = PRODUCT OF DIAGONAL ELEMENTS SINCE EACH IOF THE DIAGONAL ELEMENTS <=1 , ITS DETERMINANT WILL BE [<=1][<=1][<=1].........N TIMES <=1 HENCE 1 IS THE UPPER BOUND FOR THE DETERMINANT OF A N X N MATRIX .