Please give me the neated written solution, then I will give you a good comment, thank you!

Q1(a) (5 points) For the following statement, either prove or disprove it. You may disprove with by finding a counterexample but if you do, you must clearly demonstrate your counterexample satisfies the hypothesis of the statement but not the conclusion. The linear transformation T : P,(R) - P,,(R) defined by T(p(x)) = xp' (x) is an isomorphism. + Drag and drop your files or click to browse... Q1(b) (5 points) For the following statement, either prove or disprove it. You may disprove with by finding a counterexample but if you do, you must clearly demonstrate your counterexample satisfies the hypothesis of the statement but not the conclusion. Let A be an n X n matrix, and let I, be the n X n identity matrix. Then A is similar to I, if and only if A = In. + Drag and drop your files or click to browse