Suppose we have a pairs of simultaneous linear equations
(1)
(2)
We can subtract
to give
we can subtract
to give
We can represent write the simultaneous equations in matrix form as
Multiplying on the left by the inverse of the matrix
which equals
gives
This is the same as the solution above.
Example: Use matrices to solve the simultaneous equations
In matrix form this is
The inverse of the matrix
is
