Question

Answer if and only if you know it completely else I will down vote and report

Show both aspect of Lagrange LI

Answer 1

Answer:

Given that:

Answer if and only if you know it completely else I will downvote and report

Show both aspect of Lagrange LI

Language Interpolation

linear

for n datapoints/ co-ordinate points we need a polynomial of degree n-1 such that polynomial passes through each of them .

Eg: There's always a line  (degree=1) passing through two points

Suppose data points are:  

eqn of polynomial passing through all these point

we can re-write it as

Here our case is limited to linear interpolation

considering data points to be

Now, this passes through

similarly, it passess through