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. a b c 276 276 a b c 398 398 What is the elementary row operation? O A. Row 2 is replaced with the sum of rows 2 and 3. OB. Row 2 is replaced with the sum of rows 1 and 2. OC. Rows 1 and 3 are interchanged. OD. Rows 1 and 2 are interchanged. E. Rows 2 and 3 are interchanged. OF. Row 1 is replaced with the sum of rows 1 and 2. OG. Row 1 is replaced with the sum of rows 1 and 3. How does the row operation affect the determinant? OA. It multiplies the determinant by 2. OB. It changes the sign of the determinant. OC. It increases the determinant by 1. D. It does not change the determinant.
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. a b c 276 276 a b c 398 398 What is the elementary row operation? O A. Row 2 is replaced with the sum of rows 2 and 3. OB. Row 2 is replaced with the sum of rows 1 and 2. OC. Rows 1 and 3 are interchanged. OD. Rows 1 and 2 are interchanged. E. Rows 2 and 3 are interchanged. OF. Row 1 is replaced with the sum of rows 1 and 2. OG. Row 1 is replaced with the sum of rows 1 and 3. How does the row operation affect the determinant? OA. It multiplies the determinant by 2. OB. It changes the sign of the determinant. OC. It increases the determinant by 1. D. It does not change the determinant.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 28E
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