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Compute the determinant of the following matrix using a cofactor expansion across the first row. 3 7 - 6 A= 2 0 4 6 3 Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. Using this expansion, the determinant is (3)(- 30) - (7)(- 14) + (- 6)(12) = O B. Using this expansion, the determinant is (3)(- 30) - (2)(- 14) + (4)(12) = c. Using this expansion, the determinant is (3)(- 30) + (2)(- 14) + (4)(12) = O D. Using this expansion, the determinant is (3)(- 30) + (7)(- 14) + (- 6)(12) = LO

Compute the determinant of the following matrix using a cofactor expansion across the first row. 3 7 - 6 A= 2 0 4 6 3 Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. Using this expansion, the determinant is (3)(- 30) - (7)(- 14) + (- 6)(12) = O B. Using this expansion, the determinant is (3)(- 30) - (2)(- 14) + (4)(12) = c. Using this expansion, the determinant is (3)(- 30) + (2)(- 14) + (4)(12) = O D. Using this expansion, the determinant is (3)(- 30) + (7)(- 14) + (- 6)(12) = LO

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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Compute the determinant of the following matrix using a cofactor expansion across the first row. 3 7 - 6 A= 2 0 4 6 3 Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. Using this expansion, the determinant is (3)(- 30) - (7)(- 14) + (- 6)(12) = O B. Using this expansion, the determinant is (3)(- 30) - (2)(- 14) + (4)(12) = c. Using this expansion, the determinant is (3)(- 30) + (2)(- 14) + (4)(12) = O D. Using this expansion, the determinant is (3)(- 30) + (7)(- 14) + (- 6)(12) = LO
Transcribed Image Text:Compute the determinant of the following matrix using a cofactor expansion across the first row. 3 7 - 6 A= 2 0 4 6 3 Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. Using this expansion, the determinant is (3)(- 30) - (7)(- 14) + (- 6)(12) = O B. Using this expansion, the determinant is (3)(- 30) - (2)(- 14) + (4)(12) = c. Using this expansion, the determinant is (3)(- 30) + (2)(- 14) + (4)(12) = O D. Using this expansion, the determinant is (3)(- 30) + (7)(- 14) + (- 6)(12) = LO
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