Solving system of equations using the inverse matrix method
Provided you understand how matrices are multiplied together you will realise that these can
The inverse matrix method uses the inverse of a matrix to help solve a system of equations.
Consider the simultaneous equations:
be written in matrix form as:
we have A·X=B.
Given AX = B
we can multiply both sides by the inverse of A, provided this exists, to give:
But A-1A = I, the identity matrix, so