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# What are the three types of systems of linear equations and their characteristics?

Wiki User

2010-10-31 16:04:55

Independence:

The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.

Consistency:

The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.

Homogeneous:

If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.

Wiki User

2010-10-31 16:04:55
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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What are the three types of systems of linear equations and their characteristics?