Linear algebra-matrix of transformation

Reference no: EM13125576

Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.

(a) L(p(x))=x^3*p''(x)+x^2p'(x)-x*p(x)

(b) L(p(x))=x^2*p''(x)+p(x)p''(x)

Reference no: EM13125576

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