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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. 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)` exists and all entries are integers

C

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

D

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

Text Solution

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The correct Answer is:
B
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