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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 14E
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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).
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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