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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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โˆ™ 2014-03-04 23:56:21
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Q: What is a unique solution in linear equations?
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Related questions

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 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 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.

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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?

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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..

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The equations are consistent and dependent with infinite solution if and only if a1 / a2 = b1 / b2 = c1 / c2.

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

Does every pair of linear simultaneous equations have a unique solution?

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