# Suppose that A is an n times n matrix where aij 1. What is a good .pdf

A

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 ..

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### 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 .
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