Consider the following Gauss elimination: [1 0 01 A →→ 0 4 0 A → 0 1 0 E₁A →→ 0 0 1 E₂E₁A → 0 1 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 0 1 0 E3 1 0 07 0 0 1 E1 What is the determinant of A? det (A) = [1 0 0 0 0 -7 E2 [1 0 9 0 E3E2E₁A = 001 E4 -6 -7 -5 0 0 0 -57 6 -6

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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Consider the following Gauss elimination:
[100]
[10
0 4 0 A →→ 01
00 1
A →→
E1
What is the determinant of A?
det (A) =
0
0
E2
0
0E₁A →→
-7
[100]
0 0 1 E2E₁A →
0
1
0
E3
[109]
0
1
00
E4
0 E3E2E₁A =
1
-6
0
0
-7-5
-5
6
0
-6
Transcribed Image Text:Consider the following Gauss elimination: [100] [10 0 4 0 A →→ 01 00 1 A →→ E1 What is the determinant of A? det (A) = 0 0 E2 0 0E₁A →→ -7 [100] 0 0 1 E2E₁A → 0 1 0 E3 [109] 0 1 00 E4 0 E3E2E₁A = 1 -6 0 0 -7-5 -5 6 0 -6
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