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If matrix A, B and C are invertible matrix of same order then (ABC)^-1 = _________

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If matrix A, B and C are invertible matrix of same order then (ABC)^-1 = _________

(a) CBA

(b) C^-1 B^-1 A^-1

(c) C^T B^-1 A^T

(d) None of the mentioned

This question was addressed to me in final exam.

My doubt is from Inverse of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Best answer
Correct answer is (b) C^-1 B^-1 A^-1

Best explanation: Reversal rule holds for inverse multiplication of the matrices.

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