Which of the following linear transformations are isomorphisms?X-yT1:R3→ R where Ty-z2x+6za bT2:M2x2 → P3 where T2= (a - b)x3 + bx2 +(c- d)x+ bc da +cb - сT3:P2 R* where T3(ax2 +bx + c) =2ba. T1 onlyO b. T1 and T2 onlyс. Тз опlyA d. they are all isamorphisms

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Which of the following linear transformations are isomorphisms? X-y T1: R3 R3 where T y-z 2x+6z a T2:M2x2 → P3 where T2 C = (a - b)x3 + bx2 + (c- d)x+ b a+c b-c T3:P2→ R where T3(ax2 + bx + c) = 2b O a. T1 only b. T1 and T2 only c. T3 only A d. they are all isamorphisms

Which of the following linear transformations are isomorphisms? X-y T1: R3 R3 where T y-z 2x+6z a T2:M2x2 → P3 where T2 C = (a - b)x3 + bx2 + (c- d)x+ b a+c b-c T3:P2→ R where T3(ax2 + bx + c) = 2b O a. T1 only b. T1 and T2 only c. T3 only A d. they are all isamorphisms

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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Question

Which of the following linear transformations are isomorphisms?
X-y
T1:R3→ R where T
y-z
2x+6z
a b
T2:M2x2 → P3 where T2
= (a - b)x3 + bx2 +(c- d)x+ b
c d
a +c
b - с
T3:P2 R* where T3(ax2 +
bx + c) =
2b
a. T1 only
O b. T1 and T2 only
с. Тз опly
A d. they are all isamorphisms

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