Suppose that F is a linear transformation such that F (1,0,0)= (1,0,1), F (0, 1,0) = (1,-1,3), F (0,0,1)= (-2,-2,2). (a) Enter a basis for the kernel of F as a list of vectors, for example [1,2,3], [4,5,6]. (b) Enter a basis for the range of F.
Suppose that F is a linear transformation such that F (1,0,0)= (1,0,1), F (0, 1,0) = (1,-1,3), F (0,0,1)= (-2,-2,2). (a) Enter a basis for the kernel of F as a list of vectors, for example [1,2,3], [4,5,6]. (b) Enter a basis for the range of F.
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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![Suppose that F is a linear transformation such that
F (1,0,0)= (1,0,1),
F (0,1,0) = (1,-1,3),
F (0,0,1)= (-2,-2, 2).
(a) Enter a basis for the kernel of F as a list of vectors, for example [1,2,3], [4,5,6].
(b) Enter a basis for the range of F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ac09755-9639-4075-b6f1-d2ae73f82d81%2F1c0eb77c-07f8-40e9-93c4-6d79af3021b6%2Fueqrxdh_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that F is a linear transformation such that
F (1,0,0)= (1,0,1),
F (0,1,0) = (1,-1,3),
F (0,0,1)= (-2,-2, 2).
(a) Enter a basis for the kernel of F as a list of vectors, for example [1,2,3], [4,5,6].
(b) Enter a basis for the range of F.
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