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ab Let AD and let k be a scalar. Find a formula that relates det(kA) to k and det(A). c d

ab Let AD and let k be a scalar. Find a formula that relates det(kA) to k and det(A). c d

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a b Let A = and let k be a scalar. Find a formula that relates det(kA) to k and det(A). c d Find det(A). det(A) = (Simplify your answer.)
Transcribed Image Text:a b Let A = and let k be a scalar. Find a formula that relates det(kA) to k and det(A). c d Find det(A). det(A) = (Simplify your answer.)
Compute the determinant of the following matrix using a cofactor expansion across the first row. 4 7 -4 3 0 2 3 6 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 (4)(-12) – (7)(10)+(-4)(9) = O B. Using this expansion, the determinant is (4)(- 12) + (3)(10) + (2)(9) =. O C. Using this expansion, the determinant is (4)(- 12) – (3)(10)+ (2)(9) =. O D. Using this expansion, the determinant is (4)(- 12) + (7)(10) + (-4)(9) =.
Transcribed Image Text:Compute the determinant of the following matrix using a cofactor expansion across the first row. 4 7 -4 3 0 2 3 6 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 (4)(-12) – (7)(10)+(-4)(9) = O B. Using this expansion, the determinant is (4)(- 12) + (3)(10) + (2)(9) =. O C. Using this expansion, the determinant is (4)(- 12) – (3)(10)+ (2)(9) =. O D. Using this expansion, the determinant is (4)(- 12) + (7)(10) + (-4)(9) =.
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