can someone explain to me the classifications for linear equations? I don't understand what the terms mean. Consistent, inconsistent, and dependent and how a system of equations can be both.
2026-05-15 21:56:43.1778882203
Classification for linear systems
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You can think of a set of
Mlinear equations as relationships betweenNvariables. The equations in the set determine if the set isEasiest to understand is category in-consistent. Example:
As you can see the right hand side is in-consistent. So you get gist of what inconsistent means. Now let's see example of dependent:
We have same equation written in different form.
Finally if the set is neither in-consistent, nor dependent, then it is usually consistent.