Suppose f is the function defined by f(x) = Ax, where a. The domain of f is b. The codomain of f is 24 0 DA. < 6,0,3> OB.<0,0,1,0 > OC. <0,-2,1,1> OD. <5, -6,5> DE. <-2, 12, -5> OF. <-4,0, 1,1> 8 3 -3 A = 0 1 0 2 -1 5 For instance, enter R^5 for R5. For instance, enter R^5 for R5. c. Select all of the vectors that are in the kernel of f. You should be able to justify your answers (there may be more than one correct answer DA.<-4,0,1,1> OB.<0,0,1,0 > OC.<-2, 12, -5> D.<6,0,3> DE. <0,-2, 1,1> F.<5, -6,5> d. Select all of the vectors that are in the image of f. You should be able to justify your answers (there may be more than one correct answer).
Suppose f is the function defined by f(x) = Ax, where a. The domain of f is b. The codomain of f is 24 0 DA. < 6,0,3> OB.<0,0,1,0 > OC. <0,-2,1,1> OD. <5, -6,5> DE. <-2, 12, -5> OF. <-4,0, 1,1> 8 3 -3 A = 0 1 0 2 -1 5 For instance, enter R^5 for R5. For instance, enter R^5 for R5. c. Select all of the vectors that are in the kernel of f. You should be able to justify your answers (there may be more than one correct answer DA.<-4,0,1,1> OB.<0,0,1,0 > OC.<-2, 12, -5> D.<6,0,3> DE. <0,-2, 1,1> F.<5, -6,5> d. Select all of the vectors that are in the image of f. You should be able to justify your answers (there may be more than one correct answer).
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:Suppose f is the function defined by f(x) = Ax, where
a. The domain of f is
b. The codomain of f is
24 0
DA. < 6,0,3>
OB.<0,0,1,0 >
OC.<0,-2,1,1>
OD. < 5, -6,5>
DE. <-2, 12, -5>
OF. <-4,0, 1,1>
A = 0
1
8
3 -3
0
2 -1 5
For instance, enter R^5 for R5.
For instance, enter R^5 for R5.
c. Select all of the vectors that are in the kernel of f. You should be able to justify your answers (there may be more than one correct answer
DA. <-4,0,1,1>
OB.<0,0,1,0 >
OC. <-2, 12, -5>
D.<6,0,3>
DE. <0,-2,1,1>
F.<5, -6,5>
d. Select all of the vectors that are in the image of f. You should be able to justify your answers (there may be more than one correct answer).
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