Computational
Techniques in Theoretical Physics
Homework for Section 2: Review
of Numerical Methods

In a Fortran program, a general purpose matrix A(10,10)
is given. Assuming that a particular problem can be described by
5 equations with 6 unknowns:

How the elements of matrix A is stored (i.e. physical memory).

Using a local matrix of size 5X6 to represent the equations,
how this matrix is stored?

Give a more detailed derivation of GaussJordan elimination
method for the equation studied in the lecture.

Prove that the precision of determining xmin is:
dx_{min}/x_{min} = O(e^{1/2})

Optional: Write a computer program for a problem presented
in the lecture.