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What is cramer rule?
In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
What is the condition for unique solution of linear equation?
The equations are consistent and dependent with infinite solution if and only if a1 / a2 = b1 / b2 = c1 / c2.
It is impossible for a system of two linear equations to have exactly one solution. True or False?
False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.
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 a system of equations that has at least one solution?
a linear equation
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
What does a air of linear equations having a unique solution represent graphically?
Presumably the question concerned a PAIR of linear equations! The answer is two straight lines intersecting at the point whose coordinates are the unique solution.
What is cramer rule?
In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What are the applications of cramer's rule?
Cramer's rule is applied to obtain the solution when a system of n linear equations in n variables has a unique solution.
When will be the linear equations a1x plus b1y plus c1 equals 0 and a2x plus b2y plus c2 equals 0 has unique solution?
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
What is the condition for unique solution of linear equation?
The equations are consistent and dependent with infinite solution if and only if a1 / a2 = b1 / b2 = c1 / c2.
Is it possible for a system of three linear equations to have one solution?
Yes, it is possible for a system of three linear equations to have one solution. This occurs when the three equations represent three planes that intersect at a single point in three-dimensional space. For this to happen, the equations must be independent, meaning no two equations are parallel, and not all three planes are coplanar. If these conditions are met, the system will yield a unique solution.
Does every pair of linear simultaneous equations have a unique solution?
So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.
It is impossible for a system of two linear equations to have exactly one solution. True or False?
False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
