Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column. 7-7 8. -1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 79E
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Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column.
7-7
8.
8.
8 -1
Write the expression for the determinant using a cofactor expansion across the first row. Choose the correct answer below.
O A. Using this expansion, the determinant is (7X55) -(-7)(71) + (8)(65).
O B. Using this expansion, the determinant is (7)-57)+(-7X-15) + (8X63).
OC. Using this expansion, the determinant is (7X55) +(-7)(71) + (8)(65).
O D. Using this expansion, the determinant is (7X-57)-(-7X-15) + (8X63).
Write the expression for the determinant using a cofactor expansion down the second column. Choose the correct answer below.
A. Using this expansion, the deteminant is (-7X-15) + (1X-15) + (8X-15).
B. Using this expansion, the determinant is -(-7X-1)+(1X1)-(8)(113).
OC. Using this expansion, the determinant is -(-7X-15) + (1X-15)- (8X-15).
D. Using this expansion, the determinant is (-7X-1) + (1)(1) (8X113).
The determinant is
(Simplify your answer.)
Transcribed Image Text:Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column. 7-7 8. 8. 8 -1 Write the expression for the determinant using a cofactor expansion across the first row. Choose the correct answer below. O A. Using this expansion, the determinant is (7X55) -(-7)(71) + (8)(65). O B. Using this expansion, the determinant is (7)-57)+(-7X-15) + (8X63). OC. Using this expansion, the determinant is (7X55) +(-7)(71) + (8)(65). O D. Using this expansion, the determinant is (7X-57)-(-7X-15) + (8X63). Write the expression for the determinant using a cofactor expansion down the second column. Choose the correct answer below. A. Using this expansion, the deteminant is (-7X-15) + (1X-15) + (8X-15). B. Using this expansion, the determinant is -(-7X-1)+(1X1)-(8)(113). OC. Using this expansion, the determinant is -(-7X-15) + (1X-15)- (8X-15). D. Using this expansion, the determinant is (-7X-1) + (1)(1) (8X113). The determinant is (Simplify your answer.)
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