131-6 = 5 121 -65 -140] 65 30 f((-10,5)) = 5 (-10,5) f((-10,5)) = DNE (7,-3) b. The linear transformation facts like multiplication by 5 c. Is the vector (2,-1) an eigenvector for A? yes d. Is the vector (-10,5) an eigenvector for A? yes e. Are the vectors (2,-1) and (-10,5) in the same eigenspace? yes in the subspace span {(2, -1)}. If so, what is its associated eigenvalue? 5 If so, what is its associated eigenvalue? 5 +
131-6 = 5 121 -65 -140] 65 30 f((-10,5)) = 5 (-10,5) f((-10,5)) = DNE (7,-3) b. The linear transformation facts like multiplication by 5 c. Is the vector (2,-1) an eigenvector for A? yes d. Is the vector (-10,5) an eigenvector for A? yes e. Are the vectors (2,-1) and (-10,5) in the same eigenspace? yes in the subspace span {(2, -1)}. If so, what is its associated eigenvalue? 5 If so, what is its associated eigenvalue? 5 +
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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![0] [³] =
-65-140
30 65
f((-10,5)) = 5
f((-10,5)) = DNE
5
(-10,5)
(7,-3)
[2]
b. The linear transformation f acts like multiplication by 5
in the subspace span {(2, -1)}.
c. Is the vector (2, -1) an eigenvector for A? yes
d. Is the vector (-10, 5) an eigenvector for A? yes
e. Are the vectors (2, -1) and (-10,5) in the same eigenspace? yes
f. If the vector (7, k) is an eigenvector for A with eigenvalue -5, then k =
If so, what is its associated eigenvalue? 5
If so, what is its associated eigenvalue? 5
g. The linear transformation f acts like multiplication by -5 in the subspace span{
the form <1,2>.
h. Is the vector (-35, 15) an eigenvector for f? yes
}. Enter your answer as a coordinate vector of
If so, what is its associated eigenvalue?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80adb728-6954-4f8d-9107-41647af52006%2F76db595c-7bd7-4129-a723-6c5b92343e2a%2Fhdez0ka_processed.jpeg&w=3840&q=75)
Transcribed Image Text:0] [³] =
-65-140
30 65
f((-10,5)) = 5
f((-10,5)) = DNE
5
(-10,5)
(7,-3)
[2]
b. The linear transformation f acts like multiplication by 5
in the subspace span {(2, -1)}.
c. Is the vector (2, -1) an eigenvector for A? yes
d. Is the vector (-10, 5) an eigenvector for A? yes
e. Are the vectors (2, -1) and (-10,5) in the same eigenspace? yes
f. If the vector (7, k) is an eigenvector for A with eigenvalue -5, then k =
If so, what is its associated eigenvalue? 5
If so, what is its associated eigenvalue? 5
g. The linear transformation f acts like multiplication by -5 in the subspace span{
the form <1,2>.
h. Is the vector (-35, 15) an eigenvector for f? yes
}. Enter your answer as a coordinate vector of
If so, what is its associated eigenvalue?
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