Needed to be solve this question correctly in 10 minutes and get thumb up please show neat and clean work 2. Let T : P2 -→ P2 be defined by T(a+ bx + cx²) = a – 26 + (2b – 4c)x +3ca2.Find a basis C for P2 such that [T]c is a diagonal matrix.

Answered: 2. Let T: P2- P2 be defined by T(a+ bx…

2. Let T: P2- P2 be defined by T(a+ bx + c?) = a - 2b+ (2b – 4c)x+3ca². Find a basis C for P2 such that [T]c is a diagonal matrix. %3D

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.3: Matrices For Linear Transformations

Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.

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Needed to be solve this question correctly in 10 minutes and get thumb up please show neat and clean work

2. Let T : P2 -→ P2 be defined by T(a+ bx + cx²) = a – 26 + (2b – 4c)x +3ca2.
Find a basis C for P2 such that [T]c is a diagonal matrix.

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