Answer to Question #94022 in Quantitative Methods for Joshua

Question

1.The interpolating polynomial of degree \\(\\leq n\\)with the nodes\\(x_{0}, x_{1},\\cdots, x_{n}\\) can be written as
a.\\( f[x_{i}] = f(x_{i})\\)
b.\\( f[x_{i}] + f(x^i)=1\\)
c.\\( f[x_{i}] - f(x_{i}=0)\\)
d.\\( f[x_{i}] +f(x_{i}=0)\\)

2. A matrix in which all the non-diagonal elements vanish is called ___________ matrix.
a.diagonal
b.vanishing
c.non-diagonal
d.non-vanishing

Answer 1

1) a: $f[x_{i}]=f(x_{i})$

2) a: diagonal