0
x+y=0
2x+2y=0
This homogeneous system has infinitely many non-trivial solutions.
If you are looking for exactly one non-trivial solution, no such system exists. the system may or may not have non trivial solution. if number of variables equal to number of equations and given matrix is non singular then non trivial solution does not exist
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Must solutions to systems of linear equalities satisfy both equalities?
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
What is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
If a system has an infinite number of solutions does it follow that any ordered pair is a solution?
No, this is not necessarily the case. A function can have an infinite range of solutions but not an infinite domain. This means that not every ordered pair would be a solution.
What is the solution of the system of equations y-2x 5 -5y10x 20?
Without any equality signs the given expressions can't be considered as equations.
Can you solve system of equations by graphing?
Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such point.
Is salt a solution or a homogeneous solution?
A solution of any sort is a homogeneous mixture.
What mixture would not scatter light?
A homogeneous mixture, homo- means of the same. A homogeneous mixture is a mixture that cannot be separated in any way.
What does a solution and a homogeneous mixture have in common?
Any phase is distinct.
Homogeneous system with m equations and n unknowns how to prove it has only one solution?
row reduce the matrix in question and see if it has any free variables. if it does then it has many solution's. If not then it only has one unique solution. which is of course the trivial solution (0)
What does it mean to say that a solution is homogeneous?
Homogeneous means that a material is the same throughout. Samples taken from any part of the material will be identical to one another. Elements and compounds are homogeneous pure substances. Solutions are homogeneous mixtures.
Examples of a homogeneous mixture?
Any true solution provides an example of a homogeneous mixture, as do most metal alloys such as brass and bronze.
Why is it necessary to mix any solution that does not show an immediate change?
The purpose is to obtain a homogeneous mixture.
Why is a sugar water solution a homogeneous mixture?
I think you mean a homogeneous mixture. Its because sugar is completely dissolved in water, so it will not be visible anymore, therefore, they become with only one phase or as you call it... a 'clear solution'
Is salt solution a homogeneous or a heterogeneous?
Each crystallic particle is pure NaCl, homogeneous.
What is part of a system having uniform composition and properties?
Any part of a system with uniform composition and properties is called a phase ant it is always true.
A solution in which no more material will dissolve is?
A Saturated Solution. In an unsaturated solution, more will dissolve, but once the solution is saturated, it is "full" and will not allow any material to dissolve in it at current temperature and other conditions.
Is there a program that is free and works fine without any bugs?
No nontrivial program is bug free. Freeware or Commercial.
