December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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8.5 Properties of Determinants
INTRODUCTION
In this section we are going to consider some of the many properties of determinants. Our goal in the discussion is to use these properties to develop a means of evaluating a determinant that is an alternative to cofactor expansion.
Properties
The first property states that the determinant of an n × n matrix and its transpose are the same.
THEOREM 8.5.1 Determinant of a Transpose
If AT is the transpose of the n × n matrix A, then det AT = det A.
For example, for the matrix A = 
, we have AT = . Observe ...
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