Answer
False
Work Step by Step
The least square solution $x_0=(A^TA)^{-1}A^Tb$ which is not equal to $(AA^T)^{-1}A^Tb$. These two expressions are equal if and only $A$ is an orthogonal matrix.
Hence, the statement is false.
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 5 - Inner Product Spaces - 5.4 Least Squares Approximation - True-False Review - Page 374: b
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