Question: 1) Use the Vandermonde matrix method to find the quadratic polynomial P 2( x ) that passes through the points (0,1), (1,2), and (2,5). 2)

1) Use the Vandermonde matrix method to find the quadratic polynomial P2(x) that passes through the points (0,1), (1,2), and (2,5).

2) Find the determinant of the matrix (in number 1). 3) Does the matrix have an inverse? Why or why not? 4) Also find P2(x) by Newtons divided difference method. Do you get the same polynomial?

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