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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.)
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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