Solving Systems of Linear Equations and Matrix Norms
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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??
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Solving Systems of Linear Equations and Matrix Norms are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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