1. True or False. (a) R³ is isomorphic to R³*2. (b) p19 is isomorphic to R4x5 (e) Span (1+x, x-², 2³) is isomorphic to R¹. 2. Define the linear transformation T: R2x2P2 by T T([a &]) = a +(b+d)x+ 2ax². How can you tell without doing any work that T is not an isomorphism? 3. Define the linear trancf D22 3 bu Tlahr a a+b

Q: What is the definiti transformation?

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A: Given:

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Q: T₁ State University, 202 I1 I2 yright Texas State University, 2023. All rights reserved. 2x11₂ a.…

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