請問一下
f(x) = q(x)(x-1)^2(x-2) + r(x)的r(x)，課本上好像是a(x-1)^2 + b(x-1)(x-2) + c
那如果改成q(x)(x-1)^3(x-2)怎辦?q(x)(x-1)^4(x-2)怎辦?
還有
1 / (x-1)^2(x-2)好像是a / (x-1)^2 + b/(x-1)(x-2) + c/(x-2)
那如果1/(x-1)^3(x-2)怎辦?
Research Space for Linear Algebra & Discrete Mathematics
1 則留言:
1. 不見得每個題目都適用Caley-Hamilton定理來處理, 因為當有高次方時餘式可能會算不出來
2. 1/[((x-1)^3)(x-2)]
= a/(x-1) + b/(x-1)^2 + c/(x-1)^3 + d/(x-2)
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