1.F.5 To any vector v =in R° we can associate a polynomial p„ (x) = ax² + bx + c in P<2.There is a linear transformation R3 → R³ wherePv(3)L(v) =| P.(3)P"(3)For example, when v =we haveРo (г) — 2? + а + 5, р.(3) — 17, pl(2) %— 2л + 1, p.(3) — 7, р"(ӕ) %3D 2, р"(3) — 2and thus17L(v) =7Write down a matrix A such that L(v) = A · v.

Given - pv(x)=ax2+bx+c in ℙ≤2and L(v)=pv(3)p'v(3)pv''(3)' To write matrix A such that L(v)=Av

Answered: a 1.F.5 To any vector v = in R³ we can…

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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...

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