Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 3 - Determinants - 3.3 Cofactor Expansions - True-False Review - Page 232: j

Answer

True

Work Step by Step

For every positive integer $n$, we have $(I_n)^{-1}=I_n \rightarrow det (I_n)=1$. According to Theorem 3.3.18, we also have $(I_n)^{-1}=\frac{1}{det(I_n)}adj(I_n)$. Hence, it is true to say that $adj(I_n)=I_n$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.