Suppose T: R + P, has an action on a

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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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2. Suppose T : R → P2 has an action on a basis for R is as follows:
= -9a? – 9z – 9, T
= 6z? + 5x + 8, and T|-2 = -10z? – 8z – 18.
T
Show that T is an isomorphism by finding the inverse transformation T-1 and give its action
on a general polynomial, using p, q, and r as constants.
Transcribed Image Text:2. Suppose T : R → P2 has an action on a basis for R is as follows: = -9a? – 9z – 9, T = 6z? + 5x + 8, and T|-2 = -10z? – 8z – 18. T Show that T is an isomorphism by finding the inverse transformation T-1 and give its action on a general polynomial, using p, q, and r as constants.
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