Find the determinant of the linear transformation T: P2 + Pa given by T(f) = -3f – 2f' where P2 denotes the vector space of polynomials of degree up to 2. Hint: The determinant of T is the determinant of the matrix associated to T with respect to some basis of P. det(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 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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Find the determinant of the linear transformation T : P2 → P2 given by
T(f) = -3f – 2f
where P, denotes the vector space of polynomials of degree up to 2.
Hint: The determinant of T is the determinant of the matrix associated to T with respect to some basis of P2.
det(T)
Transcribed Image Text:Find the determinant of the linear transformation T : P2 → P2 given by T(f) = -3f – 2f where P, denotes the vector space of polynomials of degree up to 2. Hint: The determinant of T is the determinant of the matrix associated to T with respect to some basis of P2. det(T)
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