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###### Compute the matrix of the linear transformation T Ps(R) 7 P(R) sending p(z) H plx + 2) , where Ps(R) is the space of polynomials of degree < 3, in the basis {23,z2 â‚¬, 1}. Use this to compute the eigenvalues and eigenvectors of this linear transforma- tion. Using what you know about graphs of polynomials, explain why this solution makes sense

Compute the matrix of the linear transformation T Ps(R) 7 P(R) sending p(z) H plx + 2) , where Ps(R) is the space of polynomials of degree < 3, in the basis {23,z2 â‚¬, 1}. Use this to compute the eigenvalues and eigenvectors of this linear transforma- tion. Using what you know about graphs of polynomials, explain why this solution makes sense

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