4 Consider the linear map T: P₂ [R] → R² given by T(p(x)) = (p(1), p(2)). Find a basis for the kernel of T. Find a basis for the range of T

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...
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Consider the linear map T: P2 [R] → R² given by
T(p(x)) = (p(1),p(2)).
1. Find a basis for the kernel of T.
2. Find a basis for the range of T
Transcribed Image Text:4 Consider the linear map T: P2 [R] → R² given by T(p(x)) = (p(1),p(2)). 1. Find a basis for the kernel of T. 2. Find a basis for the range of T
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