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Quiz dossier / The Matrix Cookbook

03 - Inverses

Advanced formula selection, assumption checking, and exact application for Inverses, book pages 17-23.

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Question 1

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Basic inverse algebra

Assume all needed inverses exist.

ValidInvalidStatement
(AB)−1=B−1A−1(AB)^{-1}=B^{-1}A^{-1}
(A+B)−1=A−1+B−1(A+B)^{-1}=A^{-1}+B^{-1}
(AT)−1=(A−1)T(A^T)^{-1}=(A^{-1})^T
A−1A=AA−1=IA^{-1}A=AA^{-1}=I