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Maths Exercices

Solving system of equations using the inverse matrix method
The inverse matrix method uses the inverse of a matrix to help solve a system of equations.
Consider the simultaneous equations:

sistema lineal

Provided you understand how matrices are multiplied together you will realise that these can
be written in matrix form as:
sistema matricial
writing:

A=matriz de coeficientes, X=matriz incógnitas and B=teérminos independientes

we have A·X=B.

Given AX = B we can multiply both sides by the inverse of A, provided this exists, to give:
A-1·A·X=A-1·B.
But A-1A = I, the identity matrix, so
X=A-1·B




Solve using the inverse matrix method

     X =