a b Let A = c d and let k be a scalar. Find a formula that relates det(kA) to k and det(A). ..... Find det(A). det(A) =D (Simplify your answer.) Find det(kA). det(kA) =D (Simplify your answer.) Use the preceding steps to find a formula for det(kA). Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer.) O A. det(kA) = • det(A) O B. det(kA) = + det(A) Oc. det(kA) = - det(A) O D. det(kA) = • det(A)

a b Let A = c d and let k be a scalar. Find a formula that relates det(kA) to k and det(A). ..... Find det(A). det(A) =D (Simplify your answer.) Find det(kA). det(kA) =D (Simplify your answer.) Use the preceding steps to find a formula for det(kA). Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer.) O A. det(kA) = • det(A) O B. det(kA) = + det(A) Oc. det(kA) = - det(A) O D. det(kA) = • det(A)

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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Question

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.)
Find det(kA).
det(kA) = |
(Simplify your answer.)
Use the preceding steps to find a formula for det(kA). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer.)
A. det(kA) =
• det(A)
+
B. det(kA) =
+ det(A)
Oc. det(kA) =
|- det(A)
O D. det(kA) =
• det(A)

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