Enter a System of Linear Equations, one equation per line.
Each linear equation must be in standard form, as shown below:
This solver accepts linear systems from 2x2 to 6x6. For example a 6x6 linear system
consists of 6-equations in 6-variables.
The variables of the linear system must be the variables shown below,
and each equation in the linear system must contain the variables in the order shown below.
An equation may contain fewer that the full set of variables for its linear system size, but
the variables that are present in the equation must be in the order shown below:
2x2: x y3x3: x y z4x4: x y z u5x5: x y z u v6x6: x y z u v w
Note that "e" in entries such as "4.72e4" is not an extra variable, but part of a
coefficient in scientific notation. In this example, "4.72e4" represents "4.72 * 10^4".
Click the Solve button to solve the linear system you entered.
Input Format
Each linear equation coefficient should be in one of the following formats.
You can mix the formats:
Integer:31457Decimal:+9862.314Scientific Notation:2.7E+2
The system of linear equations that you enter above, should look something like this 3-variable system,
although you may also enter linear systems with 2, 3, 4, 5, or 6 variables:
8x + y - 3z = 53.4x - 14y + 5.56e-3z = 588.2-9x - 5y + 2.7E+2z = -3.718

Results of Linear System

This output field shows the results of the linear system solution.
Solutions of linear systems are the values of the unknown variables, such as x, y, and z below,
that satisfy all of the equations in the linear system.
Additional Results
This output field provides the following additional results:
System MatrixInverse System MatrixDeterminant of System Matrix

About the Linear Equation System Solver

TIP:Entry Errors
If the data you enter into any field contains errors for that field, the solver will notify you.
In that case, simply re-enter valid data in the field of your choice and press Enter or Return.
TIP:Decimal Precision
The decimal precision of the solver is 9 significant digits, from left to right. Digits after the
9 left-most digits, are not significant.
The Numeric Range of the converter is:
+1.797e+308 ... -1.797e+308+1.000e-311 ... -1.000e-311TIP:Copy and Paste
You can Copy and Paste any of the fields by selecting the text in the field,
then pressing Control-C to copy, and Control-V to paste.

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