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Undertermined system of equations

Let's say we have 2 equations and 3 variables (N equations and M variables, where M > N), for example:

0.3a+0.1b+0.2*c=10 + E

0.1a+0.2b+0.3*c=11 + E

We want to find a, b, c that are in the range [0.0, 1.0] and we want to minimize the error E.

We want a smooth solutions that in this context means that if we chart a, b, c in a chart, the chart is smooth.

How this kind of problems can be approached with sagemath?

Undertermined system of equations

Let's say we have 2 equations and 3 variables (N equations and M variables, where M > N), for example:

0.3a+0.1b+0.2*c=10 + E

0.1a+0.2b+0.3*c=11 + E

We want to find a, b, c that are in the range [0.0, 1.0] and we want to minimize the error E.

We want a smooth solutions that in this context means that if we chart a, b, c in a chart, the chart is smooth.

How this kind of problems can be approached with sagemath?

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Undertermined system of equations

Let's say we have 2 equations and 3 variables (N equations and M variables, where M > N), for example:

0.3a+0.1b+0.2*c=10 + E

0.1a+0.2b+0.3*c=11 + E

We want to find a, b, c that are in the range [0.0, 1.0] and we want to minimize the error E.

We want a smooth solutions that in this context means that if we chart a, b, c in a chart, the chart is smooth.

How this kind of problems can be approached with sagemath?