determine whether each statement is true/false, and justify answer. a) suppose that a is an invertible n imes n matrix with integer entries. if det(a) = 1 , then a^{-1} also has integer entries. b) if a is a square matrix, then (adj(a)) = adj (a^t)

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Mathematics, 30.07.2019 17:10 anadi8659

determine whether each statement is true/false, and justify answer.
a) suppose that a is an invertible n\times n matrix with integer entries. if det(a) = 1 , then a^{-1} also has integer entries.
b) if a is a square matrix, then (adj(a)) = adj (a^t)

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determine whether each statement is true/false, and justify answer. a) suppose that a is an invertible n\times n matrix with integer entries. if det(a) = 1 , then a^{-1} also has integer entries. b) if a is a square matrix, then (adj(a)) = adj (a^t)

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determine whether each statement is true/false, and justify answer.
a) suppose that a is an invertible n\times n matrix with integer entries. if det(a) = 1 , then a^{-1} also has integer entries.
b) if a is a square matrix, then (adj(a)) = adj (a^t)