Quiz 3 Solution Friday June 25, 1999

1. (2 pts) What are the two major differences between the Newton-Raphson Method and the Secant Method?

The Newton-Raphson Method requires one initial guess, and the Secant Method requires two.

The Newton-Raphson Method computes the derivate analytically, and the Secant Method computes the derivative numerically.

2. (3 pts) What are the three permissible operations we may perform on matrices?


  1. Interchange two rows.

  2. Multiply or Divide a row by a non-zero scalar.

  3. Add two rows and replace either with the result.


3. (3 pts) Suppose A is the following matrix.




How do you find the inverse of A? ( Hint : Think about the problem before you do any work.)

You don't. The concept of an inverse matrix is only defined for square matrices.

4. (2 pts) True/False Gauss-Jordan Elimination always involves less calculations that Gaussian Elimination.

False


Keith Lynn
Fri Jul 9 08:14:33 CDT 1999