Consider the linear map T: P[R] R2 given by T(p(x)) = (p(1),p(3)). 1. Find a...

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Consider the linear map T: P₂[R] → R2 given by T(p(x)) = (p(1),p(3)). 1. Find a basis for the kernel of T. 2. Find a basis for the range of T Consider the linear map T: P₂[R] → R2 given by T(p(x)) = (p(1),p(3)). 1. Find a basis for the kernel of T. 2. Find a basis for the range of T

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To find the basis for the kernel and range of the linear map T P2R R we need to consider the polynom... View the full answer