How does the row operation affect the determinant? OA. It changes the sign of the determinant. OB. It multiplies the determinant by 2. OC. It increases the determinant by 1.
How does the row operation affect the determinant? OA. It changes the sign of the determinant. OB. It multiplies the determinant by 2. OC. It increases the determinant by 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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
Transcribed Image Text:How does the row operation affect the determinant?
kinant
OA. It changes the sign of the determinant.
OB. It multiplies the determinant by 2.
OC. It increases the determinant by 1
OD. It does not change the determinant.

Transcribed Image Text:Explore the effect of an elementary row operation on the determinant of a matrix. State the row operation and describe how it affects the determinant.
5 3 2
49 8
a b c
F
a b c
49 8
5 3 2
What is the elementary row operation?
A. Rows 1 and 3 are interchanged.
OB. Row 1 is replaced with the sum of rows 1 and 2.
OC. Rows 2 and 3 are interchanged.
OD. Rows 1 and 2 are interchangel.
Row 1 is replaced with the sum of rows 1 and 3.
OF
Row 3 is replaced with the sum of rows 2 and 3.
O G. Row 3 is replaced with the sum of rows 1 and 3.
DDD
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