Consider the following Gauss elimination: [100] [1 0 0 10 5 A-> 001 A→ A0 0 1 0 E₁A → [010] 006 0 1 0 E2E₁A → [001] E1 E2 E3 What is the determinant of A? 1 0 0 090 E3E2E₁A = 0 0 1 E4 4 -2 -2 == 0-1 8 0 0 3
Consider the following Gauss elimination: [100] [1 0 0 10 5 A-> 001 A→ A0 0 1 0 E₁A → [010] 006 0 1 0 E2E₁A → [001] E1 E2 E3 What is the determinant of A? 1 0 0 090 E3E2E₁A = 0 0 1 E4 4 -2 -2 == 0-1 8 0 0 3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 25E
Related questions
Question
Consider the following Gauss elimination: What is the determinant of A ?
![Consider the following Gauss elimination:
[100]
[1 0 0
10 5
A->
001 A→
A0 0 1 0 E₁A →
[010]
006
0 1 0 E2E₁A →
[001]
E1
E2
E3
What is the determinant of A?
1 0 0
090 E3E2E₁A =
0 0 1
E4
4 -2 -2
== 0-1 8
0 0
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80564b6c-5852-4346-969d-de7e8fa0e7cd%2Fe8c0df13-5d5a-47cc-b45a-70425d1eeb72%2F7mr4r5g_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following Gauss elimination:
[100]
[1 0 0
10 5
A->
001 A→
A0 0 1 0 E₁A →
[010]
006
0 1 0 E2E₁A →
[001]
E1
E2
E3
What is the determinant of A?
1 0 0
090 E3E2E₁A =
0 0 1
E4
4 -2 -2
== 0-1 8
0 0
3
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