Let A be a square matrix all of whose en...

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

A

If `det(A)=pm1`, then `A^(-1)` need not exist

B

If `det(A)=pm1`, then `A^(-1)` exist but all its entries are not necessarily integers

C

if `det(A)=pm1` , then `A^(-1)` exist but all its entries are non-integers

D

If `det(A)=pm1`, then `A^(-1)` exist but all its entries are integers

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The correct Answer is:

D

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