Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 3 - Determinants - 3.4 Applications of Determinants - 3.4 Exercises - Page 136: 10

Answer

Using the property that $$A \operatorname{adj}(A)=\det(A) I_n$$ together with the fact that $\det(A)=0$, then $A \operatorname{adj}(A)$ must be the zero matrix.

Work Step by Step

Using the property that $$A \operatorname{adj}(A)=\det(A) I_n$$ together with the fact that $\det(A)=0$, then $A \operatorname{adj}(A)$ must be the zero matrix.
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