4. Consider the map T : P1 → R² given by T(a+bt) – Show that T is a lincar transformation. Determine ker(T'). Justify your answer. (a) (b) (c) Determine Im(T). (d) What do the previous two parts imply about the map T?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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4. Consider the map T : P1 → R² given by T(a+bt) –
Show that T is a linear transformation.
Determine ker(T'). Justify your answer.
(a)
(b)
(c)
Determine Im(T).
(d)
What do the previous two parts imply about the map T?
Transcribed Image Text:4. Consider the map T : P1 → R² given by T(a+bt) – Show that T is a linear transformation. Determine ker(T'). Justify your answer. (a) (b) (c) Determine Im(T). (d) What do the previous two parts imply about the map T?
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