Answer
True
Work Step by Step
By Theorem 2.6.6, an $n \times n$ matrix $A$ is invertible if and only if $rank(A) = n$. Hence, if A is a $6 × 6$ matrix of rank $6$, then $A$ is invertible
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 - 2.6 The Inverse of a Square Matrix - True-False Review - Page 177: j
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