a) Let A be the matrix 12 12] Find the determinant of A3. 29 5) The matrix A has LDU decomposition 1 -9 2 U = 0 D = 0 -7 0 2 L = -4 1 1 1 2 3 1 0 1 Find the determinant of A.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
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5 12]
(a) Let A be the matrix
Find the determinant of A3.
12 29
(b) The matrix A has LDU decomposition
[5
D = 0 -7 0
1
0
0
07
[1 -9 27
L =
-4
1
U = 0
1
2
3
1
2
0
0 1
Find the determinant of A.
Transcribed Image Text:5 12] (a) Let A be the matrix Find the determinant of A3. 12 29 (b) The matrix A has LDU decomposition [5 D = 0 -7 0 1 0 0 07 [1 -9 27 L = -4 1 U = 0 1 2 3 1 2 0 0 1 Find the determinant of A.
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