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Ill-Conditioned Systems of Equations

The solution of following system of linear equation is:

2x-2y+3z=1
5x-6y+10z=2
2x-4y+9z=1

x=2, y=3, z=1

And the solution of this system is:

2x-2y+3z=1
5x-6y+10.1z=2
2x-4y+9z=1

x=2.375 y= 3.75, z= 1.25
(You do not have to show this)

Comparing the 2 solution can you determine whether the fist system of equations is ill-conditioned or not?? Explain why it is ill-conditioned??

In part 1 in this question I have already found norm and the norm says it is ill-conditioned.

Solution Preview

A system of equations is ill-conditioned if a small change in the coefficient matrix or the right hand side results in a ...

Solution Summary

Ill-Conditioned Systems of Equations are investigated.

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