Linear equations calculator: Inverse matrix method
This online calculator will help you to solve a system of linear equations using inverse matrix method.
Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to solve system of linear equations using inverse matrix method.
Linear equations solver: Inverse matrix method
The number of equations in the system:
Change the names of the variables in the system
Fill the system of linear equations:
Entering data into the inverse matrix method calculator
For example, the linear equation x1 - 7x2 - x4 = 2
can be entered as:
x1 + x2 + x3 + x4 =
Additional features of inverse matrix method calculator
Theory. Matrix inverse method for solving a system of equations
If we write the coefficients of the variables xi in matrix A, the unknown variables write in the column vector X, and the constant terms write in the column vector B, the system of linear equations is reduced to the following matrix equation
A · X = B,
which has a unique solution only if the determinant of A is not equal to zero.
The solution of the system of equations can be found in the following way:
X = A-1 · B,
You can input only integer numbers, decimals or fractions in this online calculator (-2.4, 5/7, ...). More in-depth information read at these rules.
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