Suppose that a 3 x 3 matrix A factors into a product: 1 0 0111 U12 U13] A = 121 1 0 0 U22 U23 Ll31 132 0 0 U33] Determine the value of det (A).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.4: Elementary Matrices
Problem 61E: Show that the matrix below does not have an LU factorization. A=0110
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3.
Suppose that a 3 x 3 matrix A factors into a product:
1 0
ГИ11
U12
U13
A =
-4:
BIT
0
U22
U23
[131 132
0
0
U33]
Determine the value of det (A).
121 1 0
Transcribed Image Text:3. Suppose that a 3 x 3 matrix A factors into a product: 1 0 ГИ11 U12 U13 A = -4: BIT 0 U22 U23 [131 132 0 0 U33] Determine the value of det (A). 121 1 0
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