Matrices could be used to solve systems of equations but first
one must master to find the inverse of a matrice,
A matrices C will have an inverse C-1 if and only if
the determinant of C is not equal to zero.
We will now in an example show how to solve systems of equations
using matrices and the inverse of matrices.
Consider the following simultaneous equations (this example is
also shown in our video lesson)
Provided that we know how to multiply matrices we realize that
our equations could be written as
First we find the inverse of the coefficient matrix:
The next step is to multiply both sides of our matrix equation
by the inverse matrix:
Our solution is (1,2), the easiest way to check if we are right
is to plug our values into our original equations.
Videolesson: The example above in