Answer
False.
Work Step by Step
Theorem (14) states:
If any row (or any column) of a determinant is multiplied by a nonzero number $k,$
the value of the determinant is also changed by a factor of $k.$
So, the statement is false.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 8 - Section 8.3 - Systems of Linear Equations: Determinants - 8.3 Assess Your Understanding - Page 581: 5
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