Answer
True
Work Step by Step
From Theorem 2.8.1, we have item $d) rank(A)=n$ and $f) A$ is row-equivalent to $I_n$. Hence, saying $4 × 4$ matrix $A$ with $rank(A) = 4$ is row-equivalent to $I_4$ is true.
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 2 - Matrices and Systems of Linear Equations - 2.8 The Invertible Matrix Theorem I - True-False Review - Page 189: b
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