Question: I am taking a Numerical Linear Algebra course and am working on a homework problem involving least squares problems and conditioning. The solution to the

I am taking a Numerical Linear Algebra course and am working on a homework problem involving least squares problems and conditioning.

The solution to the hw problem I am working on, 12.2 of the book 'Numerical Linear Algebra' by Trefethen and Bau, is on this site, but I need help from a tutor explaining it.

I need to derive a formula for the mxn matrix A that maps an n-vector of data at {xj} to an m-vector of sampled values {p(yj)}, where p is the degree n-1 polynomial interpolant of the data.

In the solution, matrices Vx and Vy are used, but I don't understand why just Vy is needed?

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