Now, let A be an n x n-matrix with the same properties (that is, all entries on the main diagonal and below it are all equal to 0). Show that A" = 0.
Now, let A be an n x n-matrix with the same properties (that is, all entries on the main diagonal and below it are all equal to 0). Show that A" = 0.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Question
Let A be an n × n-matrix with the same properties (that is, all entries on the
main diagonal and below it are all equal to 0). Show that An = 0
![Now, let A be an n x n-matrix with the same properties (that is, all entries on the
main diagonal and below it are all equal to 0). Show that A" = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffac9c7c8-0bf2-489c-b48d-8061944140b1%2F5bfef18f-1b3c-46fa-9659-87148adf84da%2F9byvwso_processed.png&w=3840&q=75)
Transcribed Image Text:Now, let A be an n x n-matrix with the same properties (that is, all entries on the
main diagonal and below it are all equal to 0). Show that A" = 0.
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