Question: May I please ask someone to help me with these two questions, many thanks. (1) Write down a linear map S : P2 - P1.

May I please ask someone to help me with these two questions, many thanks.

(1) Write down a linear map S : P2 - P1. Choose a basis for each space and consider the dual bases for : P, and Pi. Compute the matrices for S and S' by hand and verify that they are transposes of each other. This is an assigned problem, but you do not have to turn in a written solution. (2) Suppose that U, V are subspaces of W. Show that (U + V) = Jon Vo

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