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Quiz dossier / The Matrix Cookbook

01 - Basics

Advanced formula selection, assumption checking, and exact application for Basics, book pages 6-7.

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Question 1

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Order reversal under inverse, transpose, and Hermitian transpose

Mark every identity that holds when the required inverses exist.

ValidInvalidStatement
(ABC)−1=C−1B−1A−1(ABC)^{-1}=C^{-1}B^{-1}A^{-1}
(ABC)T=CTBTAT(ABC)^T=C^TB^TA^T
(AB)H=AHBH(AB)^H=A^HB^H
(AH)−1=(A−1)H(A^H)^{-1}=(A^{-1})^H