Solve the system of linear equations, using the matrix methods:
Let's record the given system of linear equations in the matrix form:
where
The solution of the given system of linear equations in the matrix form looks like:
where
– an inverse matrix to a matrix
consequently, the matrix
First we’ll find an adjoint matrix
where
– algebraic additions of appropriating elements
of matrix
In our case we’ll receive:
Thus,
Then the inverse matrix is equal:
Now we’ll find the solution of the given system of equations. As, then
Thus, the solution of the given system of equations: |