Question: Recall that P subscript n represents the vector space of polynomials of degree less than or equal to n. Consider the linear transformation T colon

Recall that P subscript n represents the vector space of polynomials of degree less than or equal to n. Consider the linear transformation T colon P subscript 2 rightwards arrow P subscript 1 defined by T open parentheses a subscript 0 plus a subscript 1 x plus a subscript 2 x squared close parentheses equals a subscript 0 plus left parenthesis a subscript 1 minus a subscript 2 right parenthesis x. If B equals left curly bracket x squared comma space x comma space 1 right curly bracket and C equals left curly bracket 1 plus x comma space x right curly bracket, what is the change of coordinates matrix from base B to base C

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