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Let A be a square matrix all of whose entries are integers. Th

Question

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

A

If

d e t A = \pm 1, t h e n A^{1}

exists but all its entries are not necessarily integers

B

If

d e t A \neq = \pm 1, t h e n A^{1}

exists and all its entries are non-integers

C

If

d e t A = \pm 1, t h e n A^{1}

exists and all its entries are integers

D

If

d e t A = \pm 1, t h e n A^{1}

need not exist

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Question Text	Let A be a square matrix all of whose entries are integers. Then which one of the following is true?
Answer Type	Video solution: 1
Upvotes	150