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Linear transformation, basis of the image
For the easy basis of Pn can we just use xn, xn-1,..., x, 1 How do we take the image of the basis under I? The matrix part is also confusing me.- Chris1557
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- Forum: Calculus and Beyond Homework Help
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Linear transformation, basis of the image
Homework Statement From Calculus we know that, for any polynomial function f : R -> R of degree <= n, the function I(f) : R -> R, s -> ∫0s f(u) du, is a polynomial function of degree <= n + 1. Show that the map I : Pn -> Pn+1; f -> I(f), is an injective linear transformation, determine...- Chris1557
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- Basis Image Linear Linear transformation Transformation
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- Forum: Calculus and Beyond Homework Help