Let F: R³ → R4 be the linear transformation that satisfies 2 2 1 -0-0-0-0-0-0 F1 = 2 F = 1 1 -2 1 F1 a) Determine the matrix for F in the standard basis. b) Determine the dimension of the kernel kerF. 1 = 1 2 -2 1
Let F: R³ → R4 be the linear transformation that satisfies 2 2 1 -0-0-0-0-0-0 F1 = 2 F = 1 1 -2 1 F1 a) Determine the matrix for F in the standard basis. b) Determine the dimension of the kernel kerF. 1 = 1 2 -2 1
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:Let F: R³ R4 be the linear transformation that satisfies
1
1
1
2
-0 (0) 0 0 0 0)
(4)
F
=
=
F
=
2
-2
1
a) Determine the matrix for F in the standard basis.
b) Determine the dimension of the kernel kerF.
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