Quantcast
answersLogoWhite
notificationBell

Top Answer
User Avatar
Wiki User
Answered 2014-03-04 23:56:21

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.

001
๐Ÿ™๐Ÿฟ
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
๐Ÿ˜‚
0
User Avatar

Your Answer

Still Have Questions?

Related Questions


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.


Kinds of system of linear equation in two variables?

There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.


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.


How is Cramers Rule used in life?

It is used for solving a system of linear equations where the number of equations equals the number of variables - and it is known that there is 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 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.


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.


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.


A system of linear equations that has soluton is?

A system of linear equations that has at least one solution is called consistent.


What is inconsistent system of linear equation?

It is a system of linear equations which does not have a solution.


Why a system of linear equations cannot have exactly two solutions?

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.


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.


What is the point at which the lines intersect in a system of linear equations?

The coordinates of the point of intersection represents the solution to the linear equations.


If a system of equations is independent how many soultions will it have?

A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.


What are the three types of system of linear equations?

The three types arethe system has a unique solutionthe system has no solutionsthe system has infinitely many solutions.


What is a system of linear equations?

A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.


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 the solution to a linear equation?

The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.


What If a system of linear equations has no solution?

It can happen. Then there is no solution!It can happen. Then there is no solution!It can happen. Then there is no solution!It can happen. Then there is no solution!



Why are systems of equations important?

A single equation is several unknowns will rarely have a unique solution. A system of n equations in n unknown variables may have a unique solution.


How many solutions does a system of linear equations have if it is inconsistant?

A set of equations is inconsistent, if its solution set is empty.


Still have questions?

Trending Questions
Do potatoes have genders? Asked By Wiki User
Is 0.09 greater than 0.1? Asked By Wiki User
Previously Viewed
Unanswered Questions