5. Let T1 : R² → R4, and T2 : Rª → R³ be given by: T1((x, y)) = (3x – 2y, 5x + y,–x + 3y, 4y), and T2({x1, x2, x3, x4)) = (3x1 – 5x4, 7x2 + 2x3 – x4, 6x3 + 9x4). -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.3 #5

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please answer a and b

Explain why the composition T2 º T1 is well defined. State the domain and the
codomain of T2 • T1.
а.
b.
Is the composition T1 o T2 also well defined? Why or why not?
dinootlu
find (T
Transcribed Image Text:Explain why the composition T2 º T1 is well defined. State the domain and the codomain of T2 • T1. а. b. Is the composition T1 o T2 also well defined? Why or why not? dinootlu find (T
5.
Let T1 : R² → Rª, and T2 : Rª → R³ be given by:
Ti(х, у)) 3 (3x - 2у, 5х + у, -х + Зу, 4у), and
Т:((х1, х2, хз, х4)) — (3х1 — 5х4, 7x2 + 2хз — х4, 6хз + 9х4).
Transcribed Image Text:5. Let T1 : R² → Rª, and T2 : Rª → R³ be given by: Ti(х, у)) 3 (3x - 2у, 5х + у, -х + Зу, 4у), and Т:((х1, х2, хз, х4)) — (3х1 — 5х4, 7x2 + 2хз — х4, 6хз + 9х4).
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