Hint: Apply the rank-nullity theorem to the linear map Pn → Rn+1 that sends p ?→...

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(3 points) Application: polynomial interpolation. Let (20; yo), ..., (In; Yn) be n +1 points R2 with distinct x-coordinates.

Hint: Apply the rank-nullity theorem to the linear map Pn → Rn+1 that sends p ?→

(p(x0), . . . , p(xn)). Then use the fact that if polynomial of degree ≤ n has n + 1 distinct roots, then it is the zero polynomial.

math Advanced-Math

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Hint: Apply the rank-nullity theorem to the linear map Pn → Rn+1 that sends p ?→...

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Part I: Show that (y − y ∗ 0 )(y − y ∗ 1 ). ....

Hint: Apply the rank-nullity theorem to the linear map Pn → Rn+1 that sends p ?→...

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Part I: Show that (y − y ∗ 0 )(y − y ∗ 1 ). ....

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Hint: Apply the rank-nullity theorem to the linear map Pn → Rn+1 that sends p ?→...