Question: Let T: Maxz ( () - Me ( () be defined by If a b = ( 2at > b+ 3c-d at3b - c -d

Let T: Maxz ( () - Me ( () be defined by If a b = ( 2at > b+ 3c-d at3b - c -d L-a +btsc a- b-c +3d You may assume , without pwof , that I is linear. Prove that if posse c lax P B3 not identically o, and degree of p is at most 2, then there is a matrix X E Mzxz (C ) such that PCT ) (X ) * tool. Note: To relove credit you must solve this problem using the materied developed in class Do not calculate p( T) for every possible p of degree at most

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