| 1 -1 51 0 JEA → 1 0 3 -9 1 0 JA → 1 1 0 E2E,A → 0 4 0 E3EE,A =| 0 -2 0 0 9. 1 1 0 0 0 0 1 -5 E E2 E4 What is the determinant of A? det(A) =

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:

 
0 5
0 E A
1
1
0 0
1
1
3
-9
0 A
0 4 0 E3E2E¡A = | 0
0 E2 E1A →
0 0
1
1
1
8
-2
0 0
9.
0 1
1
1
E1
E2
E3
E4
What is the determinant of A?
det(A) =
Transcribed Image Text:0 5 0 E A 1 1 0 0 1 1 3 -9 0 A 0 4 0 E3E2E¡A = | 0 0 E2 E1A → 0 0 1 1 1 8 -2 0 0 9. 0 1 1 1 E1 E2 E3 E4 What is the determinant of A? det(A) =
Expert Solution
Step 1

properties of a determinant are

det (AB) = det (A)det (B)

det (AT) = det (A)

det (A-1) det (A)

det (A) = (det (A))

det (2A) = .. det (A)

where x is any real number and n is the dimension of the matrix

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