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 Gauss-Jordan 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.