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When there is an ordered pair that satisfies both inequalities.
It depends on the system. There can be many, even infinitely many, depending on the system. For example, consider cos(x)=1, sin(x)=0; any multiple of 2*pi satisfies this system.
Linear system has a proportional slope, which gives the system a straight line. And, a non-linear system has a non-proportional slope, which is represented by a non-straight line (usually a curved one). Feel free to edit if you think this is not to the point.
No, it is a linear transformation.
A system of linear equations that has at least one solution is called consistent.
Linear system follows principal of superposition and homogeneity and Non linear system does not follow the same.
Yes, superposition theorem holds true in AC circuits as well. You must first convert an AC circuit to the phasor domain and the same rules apply.
When there is an ordered pair that satisfies both inequalities.
Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.
This is the case when there is only one set of values for each of the variables that satisfies the system of linear equations. It requires the matrix of coefficients. A to be invertible. If the system of equations is y = Ax then the unique solution is x = A-1y.
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The relationship is interference is the addition of two or more wave pattern and the principle of superposition is the displacement of any point due to the superposition of wave system equal to the sum of the displacements of the individual waves at that point.
the principle that the total linear momentum in a closed system is constant and is not affected by processes occurring inside the system.
It depends on the system. There can be many, even infinitely many, depending on the system. For example, consider cos(x)=1, sin(x)=0; any multiple of 2*pi satisfies this system.
The two numbers are... 12 & 15. The equation is... x equals y times 3
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
It is a system of linear equations which does not have a solution.