# Ill-Conditioned Systems of Equations

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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.

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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 in the following posting.

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