Answer to Question #94023 in Quantitative Methods for Joshua

Question

3.The zeroeth divided difference of the function f, with respect to \\( x_{i} \\) denoted by \\( f[x_{i}]\\) can be written as
a.\\(f[x] = f(xi)\\)
b.\\(f[x_{0}] = f(x_{i})\\)
c.\\(f[x] = f(x_{i})\\)
d.\\( f[x_{i}] = f(x_{i})\\)

4.When the number of rows is equal to the number of columns in a matrix, it is called _________ matrix
a.square
b.equal
c.similar
d.singular

Answer 1

By definition, zero divided divided difference of $f$ at $x_i$ , denoted $f[x_i]$ is equal to $f(x_i)$ , i.e. the value of function at that point, so the answer to 3 is d).

A square matrix is the matrix which has equal number of rows and columns, hence the answer to 4 is a).