Explore the effects of an elementary row operation on the determinant of a matrix. State the row operation and describe how it affects the determinant.2 66.5 45 + 2k 4 + 6k...What is the elementary row operation?O A. Replace row 2 with row 1 plus k times row 2.B. Replace row 2 with k times row 1.C. Replace row 2 with k times row 2.D. Replace row 2 with k times row 1 plus row 2.How does the row operation affect the determinant?O A. The determinant is increased by 24k.B. The determinant is increased by 12k.C. The determinant is decreased by 12k.D. The determinant does not change.

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Explore the effects of an elementary row operation on the determinant of a matrix. State the row operation and describe how it affects the determinant. [::} 2 6 5 4 5+ 2k 4 + 6k What is the elementary row operation? O A. Replace row 2 with row 1 plus k times row 2. O B. Replace row 2 with k times row 1. O C. Replace row 2 with k times row 2. O D. Replace row 2 with k times row 1 plus row 2. How does the row operation affect the determinant? O A. The determinant is increased by 24k. O B. The determinant is increased by 12k. O C. The determinant is decreased by 12k. D. The determinant does not change.

Explore the effects of an elementary row operation on the determinant of a matrix. State the row operation and describe how it affects the determinant. [::} 2 6 5 4 5+ 2k 4 + 6k What is the elementary row operation? O A. Replace row 2 with row 1 plus k times row 2. O B. Replace row 2 with k times row 1. O C. Replace row 2 with k times row 2. O D. Replace row 2 with k times row 1 plus row 2. How does the row operation affect the determinant? O A. The determinant is increased by 24k. O B. The determinant is increased by 12k. O C. The determinant is decreased by 12k. D. The determinant does not change.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 32E

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