Let P2(C) be a vector space of polynomials of degree less than or equal to 2 over R. (a) By using linear extension method, show that P2(C) is isomorphic to (b) Let T : P2(C) → C³ be a transformation such that T(a + bx + cx³) = (a, a + b, a + b+ c). Find the matrix representation T relative to the standard basis.
Let P2(C) be a vector space of polynomials of degree less than or equal to 2 over R. (a) By using linear extension method, show that P2(C) is isomorphic to (b) Let T : P2(C) → C³ be a transformation such that T(a + bx + cx³) = (a, a + b, a + b+ c). Find the matrix representation T relative to the standard basis.
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 11CM
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