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

Let A be a square matrix all of whose entries are integers.
Which one of the following it true?

A

If `det A = +-1`, then `A^-1` need not exist

B

If `detA=+-1`, then `A^-1` exist but all entries are not necessarily integers.

C

If `det A ne +-1, then A^-1` exists and all its entries are non-integers

D

If `detA = +-1`, then`A^-1` exists and all its entries are integers.

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