Question: Question 5: (6 marks) Define T : P2 -> P2 by T(a, taxtax? ) = (20, + a, -a2)+ (-a, + 2a,)x-azx. Find the eigenvalues

Question 5: (6 marks) Define T : P2 -> P2 by T(a, taxtax? ) = (20, + a, -a2)+ (-a, + 2a,)x-azx. Find the eigenvalues and eigenvectors of 7 relative to the standard basis { 1, x, x?). Question 6: (6 marks) Define: T : P2 -> R by T( P) = [, P(x)dx. What is the kernel of T? Question 7: (2+4+2+2=10 marks) A periodic function is defined by if - 1

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