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Why are homogeneous equations never inconsistent?

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∙ 12y ago

Updated: 10/16/2024

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Q: Why are homogeneous equations never inconsistent?

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What is a inconsistent line?

its a system of equations, with no solution

If a system of equations is inconsitient how many solutions will it have?

If a system of equations is inconsistent, there are no solutions.

How many solutions does an inconsistent system of equations have?

If a system is inconsistent it cannot have any solutions.A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.

How many solutions does a system of linear equations have if it is inconsistant?

A set of equations is inconsistent, if its solution set is empty.

What are the three kinds of linear equations?

The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.

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