Matrices and Determinants Part 1

Section: Mathematics

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Question : 82 of 100

Marks: +1, -0

Let A be a square matrix all of whose entries are integers. Then which one of the following is true?

[AIEEE 2008]

If det A=±1, then A−1 exists but all its entries are not necessarily integers
If det A≠±1, then A−1 exists and all its entries are non integers
If det A=±1, then A−1 exists but all its entries are integers
If det‌A=±1, then A−1 need not exists

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