. LetT: RR be a linear operator and suppose that 2 1 -3 [-2] T(v₁)= Is 4 -1 -3 - 4 1 3 - 4 in R(T)? T(v₂)= T(v3) = 2 -1 T

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7. LetT: R → R¹ be a linear operator and suppose that
1
2
3
1
H
- 4
-3
-
T(v₂) =
Is
4
- 1
-3
4
-
-
-
in R(T)?
T(v₂) =
T(v3) =
2
-1
[₁]
-
Transcribed Image Text:7. LetT: R → R¹ be a linear operator and suppose that 1 2 3 1 H - 4 -3 - T(v₂) = Is 4 - 1 -3 4 - - - in R(T)? T(v₂) = T(v3) = 2 -1 [₁] -
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