A matrix U = (u) is upper triangular if u, = 0 O when i > i, that is, when all the entries below the main diagonal are zero. Matrices A and B below are upper triangula 3 8 -5 2. -5 5 0 4 4 0. 8. A 3= 0. 0. 10 Find the products A and AB. Are these products upper triangular? A² - %3D AB =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.2: The Algebra Of Matrices
Problem 61E
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A matrix U = (u) is upper triangular if u, = 0
O when i > i, that is, when all the entries below the main diagonal are zero. Matrices A and B below are upper triangula
3 8
-5
2.
-5 5
0 4
4
0.
8.
A 3=
0.
0.
10
Find the products A and AB. Are these products upper triangular?
A² -
%3D
AB =
Transcribed Image Text:A matrix U = (u) is upper triangular if u, = 0 O when i > i, that is, when all the entries below the main diagonal are zero. Matrices A and B below are upper triangula 3 8 -5 2. -5 5 0 4 4 0. 8. A 3= 0. 0. 10 Find the products A and AB. Are these products upper triangular? A² - %3D AB =
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