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Which of the following linear transformations are isomorphisms? X-y T1:R3 R3 where T1 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 c. T3 only A d. they are all isamorphisms

Which of the following linear transformations are isomorphisms? X-y T1:R3 R3 where T1 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 c. T3 only A d. they are all isamorphisms

Advanced Engineering Mathematics
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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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
Transcribed Image Text: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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