Differential Equations and Linear Algebra (4th Edition)

by Goode, Stephen W.; Annin, Scott A.

Published by Pearson

ISBN 10: 0-32196-467-5

ISBN 13: 978-0-32196-467-0

Chapter 7 - Eigenvalues and Eigenvectors - 7.3 Diagonalization - True-False Review - Page 459: g

Answer

True

Work Step by Step

Take $P=I$ : then $I^{-1}AI=A$ for every invertible matrix $I$. Hence, a square matrix A is always similar to itself.

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