Answered: If all the entries of a matrix A are…

If all the entries of a matrix A are integers and det (A) = 1 then the entries of A^− 1 (the inverse of A) are not necessarily all integers this is : TRUE OR FALSE.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.3: Properties Of Determinants

Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

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If all the entries of a matrix A are integers and det (A) = 1 then the entries of

A^− 1 (the inverse of A) are not necessarily all integers

this is : TRUE OR FALSE.

thanks for help !

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