If A is an invertible square matrix then _________(a) (A^T)^-1 = (A^-1)^T(b) (A^T)^T = (A^-1)^T(c) (A^T)^-1 = (A^-1)^-1(d) None of the mentionedThis question was addressed to me in semester exam.The question is from Inverse of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If A is an invertible square matrix then _________(a) (A^T)^-1 = (A^-1

1.	If A is an invertible square matrix then _________(a) (A^T)^-1 = (A^-1)^T(b) (A^T)^T = (A^-1)^T(c) (A^T)^-1 = (A^-1)^-1(d) None of the mentionedThis question was addressed to me in semester exam.The question is from Inverse of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (a) (A^T)^-1 = (A^-1)^T The EXPLANATION is: For INVERTIBLE matrix A, A^T is ALSO inveritble.

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