Integer Matrix Inverse Existence (Jee Mains) | ExamDuo
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Determinants
Medium
Integer Matrix Inverse Existence
Let A be a square matrix all of whose entries are integers. Then which one of the following is true?
SELECT ONE OPTION
A
if det A = ± 1 , then A ⁻¹ need not exist
B
If det A = ± 1 , then A ⁻¹ exists but all its entries are necessarily integers
C
If det A ≠ ± 1 , then A ⁻¹ exists but all its entries are non - integers
D
If det A ± 1 , then A ⁻¹ exists but all its entries are integers .
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