Illustrating the difference between well conditioned and ill conditioned system of equations

[@raregfx]

In 5:49, the system solution should be x = 6.989; y = -1.4973, anyway the system is still ill-conditioned because the condition number for A es very large (12478 under euclidian norm). Great example, very illustrative. Congrats...

[@numericalmethodsguy]

You cannot fix ill conditioning as it is based on the coefficient matrix. You may need to rethink your modeling. You can reduce the effect of ill-conditioning by using higher precision such as double or quad precision. For more details, go to nm(dot)mathforcollege(dot)com/matrixalgebrabook/index.html and see chapter 9.