(AB)⁻¹ = B⁻¹ A⁻¹ for all invertible matrices A and B.
Answer
FALSE
Solution
(AB)(B⁻¹A⁻¹) = A(BB⁻¹)A⁻¹ = AIA⁻¹ = AA⁻¹ = I. So (AB)⁻¹ = B⁻¹A⁻¹ (note the reversal).
About this question
Subject: Mathematics · Chapter: Matrices and Determinants · Topic: Inverse of a Matrix
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