Consider the linear transformation: T: P3 P2 → T (p) = p where p'is the usual derivative. A. What is ker (T)? B. Is T an onto transformation? Why or why not?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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Consider the linear transformation:
T: P3 → P2
→
T (p) = p'
where p'is the usual derivative.
A. What is ker (T)?
B. Is T an onto transformation? Why or why
not?
Transcribed Image Text:Consider the linear transformation: T: P3 → P2 → T (p) = p' where p'is the usual derivative. A. What is ker (T)? B. Is T an onto transformation? Why or why not?
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