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GATE | GATE-CS-2016 (Set 2) | Question 16

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Suppose that the eigenvalues of matrix A are 1, 2, 4. The determinant of (A−1)T is _________ [This Question was originally a Fill-in-the-blanks Question] (A) 1/8 (B) 1 (C) 1/4 (D) 2

Answer: (A)

Explanation: Answer: 1/8 Determinant of A = 1*4*2 = 8 which is product of Eigen values. Determinant of A-1 = 1/8 as determinant of inverse of matrix is inverse of determinant. Determinant of Transpose (A-1) = 1/8 since determinant of transpose of matrix remains same as original one.

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Last Updated : 11 Oct, 2021
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