Consider the following Gauss elimination:What is the determinant of A?det (A) =A →[1 0 110 1 0 A00 1E₁ГО О0110B₂[100]0E₁A0 8 0E₂E₁A→0 0 1E3110[14 -76÷3-5 -30 0 1[100]0 1 0 E3E₂E₁A = 00 0 6E4

The determinant of a matrix A is the product of eigen values of A.

Consider the following Gauss elimination: What is the determinant of A? det (A) = [10 0 A 0 1 0 A 0 1 0E₁A0 8 0E₂E₁A 0 1 0 E3E2E₁A=0 -5 ⠀⠀⠀⠀⠀⠀ 0 0 1 [10 11 го о 17 [001] B₁ 1 00 B₂ [10 07 00 6 Ē₁ 4 00 -7 -3 1

Consider the following Gauss elimination: What is the determinant of A? det (A) = [10 0 A 0 1 0 A 0 1 0E₁A0 8 0E₂E₁A 0 1 0 E3E2E₁A=0 -5 ⠀⠀⠀⠀⠀⠀ 0 0 1 [10 11 го о 17 [001] B₁ 1 00 B₂ [10 07 00 6 Ē₁ 4 00 -7 -3 1

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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Question

Consider the following Gauss elimination:
What is the determinant of A?
det (A) =
A →
[1 0 11
0 1 0 A
0
0 1
E₁
ГО О
0
1
1
0
B₂
[100]
0E₁A0 8 0E₂E₁A→
0 0 1
E3
11
0
[1
4 -7
6÷3
-5 -3
0 0 1
[100]
0 1 0 E3E₂E₁A = 0
0 0 6
E4

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