Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 3 - Determinants - 3.1 Exercises - Page 171: 40

Answer

a) TRUE b) FALSE

Work Step by Step

a) The cofactor expansion of det A down a column is equal to the cofactor expansion along a row. We will get the same number for det A so it TRUE b) The determinant of a triangular matrix is the sum of the entries on the main diagonal is FALSE. Theorem 2 states: If A is a triangular matrix, then det A is the PRODUCT of the entries on the main diagonal of A.
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