Scientific Computing

This module graphically illustrates the uncertainty in the solution of a system of linear equations due to uncertainty in the input data. The relative error in the input data is amplified by the condition number of the matrix, so the relative error in the solution can be much greater than that in the input if the matrix is ill-conditioned.

The user first selects the precision to be used in the calculation,
from one to ten decimal digits. The user then explicitly enters or
randomly chooses a two by two matrix ** A** and corresponding
right-hand-side vector

**Reference:** Michael T. Heath,
*Scientific Computing,
An Introductory Survey*, 2nd edition, McGraw-Hill, New York,
2002. See Section 2.3, especially Example 2.2 on page 52 and Figure
2.4 on page 61.

**Developers:** Nicholas Exner and Michael Heath