Suppose U is a 3 × 3 upper triangular matrix, with entries and L is a 3 × 3 lower triangular matrix with entries aij, bij Then det U = (Enter the value of the determinant in terms of the matrix entries aij, where aij is entered as a_ij) det L = (Enter the value of the determinant in terms of the matrix entries bij, where bij is entered as b_ij) Prove your answer. (This part will be graded after the due date)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose U is a 3 × 3 upper triangular matrix, with entries
and L is a 3 × 3 lower triangular matrix with entries
aij,
bij
Then det U
=
(Enter the value of the determinant
in terms of the matrix entries
aij, where aij
is entered as
a_ij)
det L
=
(Enter the value of the determinant in
terms of the matrix entries bij, where bij
is entered as b_ij)
Prove your answer. (This part will be graded after the due
date)
Transcribed Image Text:Suppose U is a 3 × 3 upper triangular matrix, with entries and L is a 3 × 3 lower triangular matrix with entries aij, bij Then det U = (Enter the value of the determinant in terms of the matrix entries aij, where aij is entered as a_ij) det L = (Enter the value of the determinant in terms of the matrix entries bij, where bij is entered as b_ij) Prove your answer. (This part will be graded after the due date)
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