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Mathematics
Linear and Abstract Algebra
How to find the matrix of the derivative endomorphism?
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[QUOTE="Erland, post: 5866200, member: 294684"] You write the basis in the order ##B=\{1,X,X^2,X^3\}##, but then you write the polynomial in the order ##P=X^3+X^2+X+1##, which indicates that you take the basis elements in the opposite order. I think this is the cause of the confusion, since the transformation matrix depends on the order of the basis elements. If we write ##P=1+X+X^2+X^3## and differentiate by multiplying the transformation matrix by the coordinate vector, you obtain the correct result ##P'=1+2X+3X^2##. [/QUOTE]
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Forums
Mathematics
Linear and Abstract Algebra
How to find the matrix of the derivative endomorphism?
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