Problem #12 Part A) Prove that C = { 1 + x + x²₁ 1+ 2x, is a basis for 1R₂ [x] Part B) Consider another basis B = {1, x₁ x ² } for Ra[x]. Find the change of basis matrix from C to B. Part C) Find the coordinate vector of x with respect to C. That is, find [x]c -x+ 2x²3

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