Please help me. p(x) = ax² +bx+c (a,b,c R) whose degreeLet R[r], be a linear space with all polynomialsis no more than 2. Let L be the operator on R[2] defined byL(p(x)) = (a + 3b + 3c)x² + (-3a-5b-3c)r + (3a + 3b + c)(1) Find the matrix A representing with respect to basis [1,1,2²];(2) Find the matrix B representing L with respect to basis [1-x+r²,-1+r, - 1+²];(3) Is the matrix A diagonalizable? Why?

We have to find the matrix A representing L with respect to the given basis. Then we can proceed…

Answered: Let R[r], be a linear space with all…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 27E

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