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When will the system of linear equation be consistent?
When its matrix is non-singular.
What is consistent system with independent equations?
A consistent system with independent equations is one in which there is at least one solution, and the equations do not overlap in their constraints, meaning that no equation can be derived from another. In such a system, the equations represent different planes (or lines in two dimensions), and they intersect at one unique point (in the case of two variables) or along a line (for three variables). This unique intersection indicates that the system has a single solution that satisfies all equations simultaneously.
is this statement true or falseA consistent independent system has lines that coincide?
false
What is the solution of the system yx 6?
Without a second independent equation, it's not a 'system' yet.
Can linear system that has more unknowns than equation be consistent?
yes it can . the system may have infinitely many solutions.
When will the system of linear equation be consistent?
When its matrix is non-singular.
What makes an equation either inconsistent consistent dependent or independent?
That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
what- use the slopes and y- intercept of the lines to determine the number of solutions to the system?
consistent dependent
is this statement true or falseA consistent independent system has lines that coincide?
false
How do you create an independent operating system?
linus
What must be true about the lines of a system of equation that has not one solution but infinitely many solutions?
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
What type of system of linear equation is y equals -3x-1 and 3x plus -1?
A consistent system.
What is the solution of the system yx 6?
Without a second independent equation, it's not a 'system' yet.
Can linear system that has more unknowns than equation be consistent?
yes it can . the system may have infinitely many solutions.
What is the solution of the system for yx 6 y2x?
Without a second independent equation, it's not a 'system' yet.
What is more general between Schrodinger time independent or time dependent wave equation?
The time-independent Schrödinger equation is more general as it describes the stationary states of a quantum system, while the time-dependent Schrödinger equation describes the time evolution of the wave function. The time-independent equation can be derived from the time-dependent equation in specific situations.
What is an independent system of linear equations?
An independent system of linear equations is a set of vectors in Rm, where any other vector in Rm can be written as a linear combination of all of the vectors in the set. The vector equation and the matrix equation can only have the trivial solution (x=0).
