Answered: Q NO 3 Let T: P2(R) → P2(R) be a linear…

Q NO 3 Let T: P2(R) → P2(R) be a linear operator such that T(1) = 0, T(1+ x) = 1 and T(1+ x²) = 2x. Explain whether T is diagonalizable or not?

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 43E: Let T:P2P3 be the linear transformation T(p)=xp. Find the matrix for T relative to the bases...

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Q NO 3 Let T: P2(R) → P2(R) be a linear operator such that T(1) = 0,
T(1 + x) = 1 and T(1+x²) = 2x. Explain whether T is diagonalizable or not?
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