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I have to solve the following system of equations:

$$3.3330x_1 + 15920x_2 + 10.333x_3 = 7953$$ $$2.2220x_1 + 16.710x_2 + 9.6120x_3 = 0.965$$ $$−1.5611x_1 + 5.1792x_2 − 1.6855x_3 = 2.714$$ should I chop off the numbers at the beginning like $$3.3330 \rightarrow 3.33$$ to make a new system or while performing Gauss elimination

Aniruddha Deb
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Hasan
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    Why would you want to deliberately make your system inaccurate when it doesn't really make it any easier to solve? – Deepak Aug 16 '20 at 12:28
  • because i should perform 3-digit chopping – Hasan Aug 16 '20 at 12:35
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    Is this 3 significant digits or 3 digits after the decimal dot? AFAIR I have seen "chopping" used in both meanings. – Lutz Lehmann Aug 16 '20 at 12:40
  • You shoud get something like $(1,\frac12,-1)$ in the end, see here. – Alexey Burdin Aug 16 '20 at 12:49
  • @LutzLehmann , i should write the number 0.something * 10 power d, so should i perform chopping at the beginning to the system – Hasan Aug 16 '20 at 13:00
  • I would say yes, the spirit seems to be that number storage is with 3 digits and the exponent, so reading the input will chop the input numbers. It can be assumed that the "calculation engine" has enough digits to carry out a full multiplication, and then when storing the result the chopping is again applied? – Lutz Lehmann Aug 16 '20 at 13:09

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