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## Homework Statement

Find the projectors of matrix A

(I am not sure how to write it in matrix form here so I have written out each row of the matrix)

Row 1 : [ 2 1 1]

Row 2: [ 2 3 2]

Row 3: [ 1 1 2]

## Homework Equations

A theorem in my text book says the Lagrange interpolation polynomial h

_{i}(A) = the projectors E

_{i}

## The Attempt at a Solution

If my understanding is correct, then all I need is the Lagrange interpolation polynomials for this matrix.

Do I have to first express this matrix in terms of a vandermonde matrix to get the fixed points?

I know how to find the Lagrange interpolation polynomials if I am given the fixed points.

I know that the second column of the vandermonde matrix gives you the fixed points.

I am not so sure as to how to express this matrix in terms of a vandermonde matrix.