Question

rewride of some of given above:L(p(x))=2p'(x)-P(1)

[1,x,x²]

p(x)=x²+2x-3

The linear transformation L defined by L(p(x)) = 2p (x) - p(l) maps P3 into P2. Determine the matrix representation for L with respect to the ordered basis [1, x, x2] for P3 and the ordered basis [x + 1, x - l] for P2. Use this matrix representation to determine the coordinates of L (p (x)) with respect to the ordered basis [x + 1, x - 1], where p(x) = x2 +2x - 3.

Show transcribed image text The linear transformation L defined by L(p(x)) = 2p (x) - p(l) maps P3 into P2. Determine the matrix representation for L with respect to the ordered basis [1, x, x2] for P3 and the ordered basis [x + 1, x - l] for P2. Use this matrix representation to determine the coordinates of L (p (x)) with respect to the ordered basis [x + 1, x - 1], where p(x) = x2 +2x - 3.